Limits by factoring Problems and Solutions

The factorization approach is used in some cases while finding the limit of a function. The following is the list of the questions on finding the limits by factorisation method with solutions to learn how to find the limit by factoring a function.

Evaluate $\displaystyle \large \lim_{x\,\to\,2}{\normalsize \dfrac{x^2-4}{x-2}}$

Evaluate $\displaystyle \large \lim_{x\,\to\,1}{\normalsize \dfrac{x^2-2x+1}{x-1}}$

Evaluate $\displaystyle \large \lim_{x\,\to\,2}{\normalsize \dfrac{x^3-8}{x-2}}$

Evaluate $\displaystyle \large \lim_{x\,\to\,-3}{\normalsize \dfrac{x^2-9}{x^2+3x}}$

Evaluate $\displaystyle \large \lim_{x\,\to\,1}{\normalsize \dfrac{x-1}{x^2+x-2}}$

Evaluate $\displaystyle \large \lim_{x\,\to\,2}{\normalsize \dfrac{x^2+4x-12}{x^2-2x}}$

Evaluate $\displaystyle \large \lim_{x\,\to\,-1}{\normalsize \dfrac{x^3+1}{x+1}}$

Evaluate $\displaystyle \large \lim_{x\,\to\,3}{\normalsize \dfrac{x^2-9}{x-3}}$

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

Maths Topics

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

Maths Problems

Learn how to solve the math problems in different methods with understandable steps and worksheets on every concept for your practice.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.