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Ask-math is an educational content provider on Interactive Mathematics-Algebra-Geometry.

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Limits by Factorization Method
Limits by factorization method is applicable when the value of limit gives you any of these 0/0, ∞/∞ , 0 ×∞ or ∞ - ∞ form then we will use the factorization method to evaluate that limit.
Indeterminate form :... https://t.co/uogsrLmQNQ

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Limits of Trigonometric Functions
Limits of Trigonometric Functions sine,cosine,tan csc,sec and cot have important properties.
Let 'c' be a real number in the domain of the given trigonometric functions.

1) lim x−>c sin(x) = sin(c) https://t.co/241DRcQ6mM

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Evaluate the Limit by Direct Substitution

We have learned that the limit of f(x) as x approaches to some value 'c' does not depend on the value of f at x= c. It may happen however that the limit is precisely f(c). In such cases we…https://t.co/naiMnXC2q1 https://t.co/EgcAMWuATP

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Properties Of Limits
Properties of Limits : Let 'b' and 'c' are any real numbers. Let 'n' be any positive integer and let 'f' and 'g' be functions with the limits.
lim x−>c f(x) = L and lim x−>c g(x) = K

1) Scalar multiple :... https://t.co/6lVKWjJx2f

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Formal Definition of Limits
Formal definition of limits: Let 'f' be any function defined on an open interval containing 'c'( not equal to c) and let 'L' be any real number, then... https://t.co/vdbwib5jHH

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Limits that Fail to Exist
Limits that fail to exist for one of four reasons :
1) One-sided limits are the same as normal limits, we just restrict x so that it approaches from just one side only. Different right and ... https://t.co/6vUs2mrEdM

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Finding Limits Graphically
finding limits graphically is find out by visualizing the graph.
Let us consider that the limit of f(x) as x approaches a is equal to L, written ... https://t.co/cB0PkZdhq9

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Finding Limits Numerically
Finding limits numerically which means we have to consider approximately some values of x which are closer to the given number from left and right side. And check for which value of x we are getting the f…https://t.co/1agc231o1u https://t.co/gsOUwP3kEX

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Introduction to Limits
In this section, ask-math explains you about the Introduction to Limits.
Let f(x) be a function at an interval that contains x = c (except possibly at c) and let 'L' be any real number such that... https://t.co/Ii8GjZnABg

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Transitive Relation
Let A be any set. A relation R on A is said to be a transitive relation if and only if,

(a,b) ∈ R and (b,c) ∈ R
⇒ (a,c) ∈ R for all a,b,c ∈ A.
that means aRb and bRc
⇒ aRc for all a,b,c ∈ A. https://t.co/5h2185krMW

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Identity Relation
Identity relation : Let A be a set. Then the relation
I(A)= {(a,a): a ∈ ∈ A} on A is called the identity-relation on A.
In other words, a relation I(A)  on A is called the identity-relation if every element of A is related itself only.) https://t.co/0YoPC7ra1q

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Universal Relation
Universal relation is a relation on set A when
A X A ⊆ ⊆ A X A. In other words, universal-relation is the relation if each element of set A is related to every element of A.
For example : Relation on the set A = {1,2,3,4,5,6} by... https://t.co/96rlpZqBGP

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Relation
Relation : Let A and B be two sets. Then a relation R from set A to set B is a subset of A X B. Thus, R is a relation from
A to B ⇔  R ⊆ A X B.
Relation is generally represented by a mapping diagram and graph.https:// https://t.co/kkCC7BpSYK

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Domain and Range
Domain and range are the input and output values of the given function respectively.
In this section we will discuss about domain and range of a function.

Domain – The input values in a given function is called Do…https://t.co/VEFn6OS2iA https://t.co/SIK9RAoHtR

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Cartesian product of sets
Cartesian product of sets A and B is denoted by A x B.

Set of all ordered pairs (a, b)of elements a∈ A, b ∈B then cartesian product A x B is {(a, b): a ∈A, b ∈ B}

Example –... https://t.co/La2JxNT42h

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Relation between Geometric and Arithmetic mean
In this section we will discuss relation between geometric and arithmetic mean.
Geometric mean : If a single geometric mean 'G' is inserted between two given numbers 'a' and 'b', then…https://t.co/ctLIaRlUHW https://t.co/Jm5YhrAkaR

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Sum of a Geometric Progression
Proof of sum of a G.P. Let Sn denote the sum of 'n' terms of the G.P. with first term 'a' and common ratio 'r'... https://t.co/fUxR0fDqcb

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Solved sums on Geometric Progression
In this section, ask-math has given some solved sums on geometric progression. These problems help the students to learn how to solve the difficult questions on G.P. This page is based on the pr…https://t.co/bd3ph7FPvk https://t.co/dUHFgQQcEi

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Selection of terms in geometric progression
Examples on selection of terms in geometric progression
1) Find the four numbers in G.P whose sum is 85 and product is 4096.
Solution : Let the four numbers in G.P. be a/r^3,a/r ,ar, ar^3 https://t.co/kEr6SE70o1

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Geometric Progression problem:
In this section we will discuss the geometric progression problem which are important according to the exam. But before seeing these problems, student should know all the formulas of geometric progres…https://t.co/E23nk2MWGD https://t.co/EEkSKA8aPk