The list of limits problems which contain logarithmic functions are given here with solutions. You must know some standard properties of limits for the logarithmic functions to understand how limits rules of logarithmic functions are used in finding limits of logarithmic functions.
Evaluate $\displaystyle \large \lim_{x\,\to\,0}{\normalsize \dfrac{\log_{e}{(\cos{x})}}{\sqrt[\Large 4]{1+x^2}-1}}$
Evaluate $\displaystyle \large \lim_{x \,\to\, e}{\normalsize \dfrac{\log_{e}{x}-1}{x-e}}$
Evaluate $\displaystyle \large \lim_{x \,\to\, 1}{\normalsize \dfrac{x^x-1}{x\ln{x}}}$
Evaluate $\displaystyle \large \lim_{x\,\to\,0}{\normalsize \dfrac{\log_{\displaystyle e}{\big(\cos{(\sin{x})}\big)}}{x^2}}$
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 - 2021 Math Doubts, All Rights Reserved