The fundamental operations are also involved in limits. So, it is essential to learn the basic mathematical operations with their formulas for studying the limits clearly. Here is the list of fundamental operations of limits with their formulas.

The limit of sum of two or more functions is equal to sum of their limits.

$\displaystyle \large \lim_{x \,\to\, a}{\normalsize \Big[f(x)+g(x)\Big]}$ $\,=\,$ $\displaystyle \large \lim_{x \,\to\, a}{\normalsize f(x)}$ $+$ $\displaystyle \large \lim_{x \,\to\, a}{\normalsize g(x)}$

The limit of difference of any two functions is equal to difference of their limits.

$\displaystyle \large \lim_{x \,\to\, a}{\normalsize \Big[f(x)-g(x)\Big]}$ $\,=\,$ $\displaystyle \large \lim_{x \,\to\, a}{\normalsize f(x)}$ $-$ $\displaystyle \large \lim_{x \,\to\, a}{\normalsize g(x)}$

The limit of product of two or more functions is equal to product of their limits.

$\displaystyle \large \lim_{x \,\to\, a}{\normalsize \Big[f(x) \times g(x)\Big]}$ $\,=\,$ $\displaystyle \large \lim_{x \,\to\, a}{\normalsize f(x)}$ $\times$ $\displaystyle \large \lim_{x \,\to\, a}{\normalsize g(x)}$

The limit of quotient of two functions is equal to quotient of their limits.

$\displaystyle \large \lim_{x \,\to\, a}{\normalsize \dfrac{f(x)}{g(x)}}$ $\,=\,$ $\dfrac{\displaystyle \large \lim_{x \,\to\, a}{\normalsize f(x)}}{\displaystyle \large \lim_{x \,\to\, a}{\normalsize g(x)}}$

Latest Math Topics

Nov 11, 2022

Nov 03, 2022

Jul 24, 2022

Jul 15, 2022

Latest Math Problems

Nov 25, 2022

Nov 02, 2022

Oct 26, 2022

Oct 24, 2022

Sep 30, 2022

A best free mathematics education website for students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Learn how to solve the maths problems in different methods with understandable steps.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved