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

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