The limits of algebraic functions should be evaluated sometimes when the variable approaches infinity. So, a worksheet that consists of limits of algebraic functions as variable tends to infinity examples is given here for your practice with answers, and also solutions to know how to find the limits of algebraic functions, as the variable approaches infinity questions in various methods by the infinite limits rules.

Evaluate $\displaystyle \large \lim_{x\,\to\,\infty}{\normalsize \bigg(2+\dfrac{3}{x^2}\bigg)}$

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

Evaluate $\displaystyle \large \lim_{x\,\to\,\infty}{\normalsize \dfrac{(x+1)^4-(x-1)^4}{(x+1)^4+(x-1)^4}}$

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

Evaluate $\displaystyle \large \lim_{x\,\to\,\infty}{\normalsize \dfrac{\sqrt[\Large 3]{x^3+2x-1}}{x+2}}$

Evaluate $\displaystyle \large \lim_{x\,\to\,\infty}{\normalsize \dfrac{\sqrt{x}}{\sqrt{x+\sqrt{x+\sqrt{x}}}}}$

Evaluate $\displaystyle \large \lim_{x\,\to\,\infty}{\normalsize \sqrt[\Large 3]{(x+1)^2}-\sqrt[\Large 3]{(x-1)^2}}$

Latest Math Topics

Jul 20, 2023

Jun 26, 2023

Jun 23, 2023

Latest Math Problems

Oct 15, 2023

Copyright © 2012 - 2023 Math Doubts, All Rights Reserved