Exercise
$\lim_{x\to\infty}\left(\frac{\frac{\pi}{2}-\arctan\left(x\right)}{e^{\frac{2}{x}}-1}\right)$
Step-by-step Solution
Learn how to solve limits problems step by step online. Find the limit of (pi/2-arctan(x))/(e^(2/x)-1) as x approaches infinity. The limit of the product of two functions is equal to the product of the limits of each function. Evaluate the limit \lim_{x\to\infty }\left(\frac{\pi }{2}-\arctan\left(x\right)\right) by replacing all occurrences of x by \infty . Evaluate the arctangent of +/- infinity. Combine fractions with common denominator 2.
Find the limit of (pi/2-arctan(x))/(e^(2/x)-1) as x approaches infinity
Final answer to the exercise
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