Exercise
$\lim_{x\to\infty}\left(\frac{log\left(1+\frac{1}{x}\right)}{\arctan\left(x\right)}\right)$
Step-by-step Solution
Learn how to solve limits problems step by step online. Find the limit of log(1+1/x)/arctan(x) as x approaches infinity. Change the logarithm to base e applying the change of base formula for logarithms: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. Evaluate the limit \lim_{x\to\infty }\left(\frac{\frac{\ln\left(1+\frac{1}{x}\right)}{\ln\left(10\right)}}{\arctan\left(x\right)}\right) by replacing all occurrences of x by \infty . Evaluate the arctangent of +/- infinity. Any expression divided by infinity is equal to zero.
Find the limit of log(1+1/x)/arctan(x) as x approaches infinity
Final answer to the exercise
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