Exercise
$\lim_{x\to\frac{\pi}{2}}\left(\frac{tanx}{-\left(\frac{2}{2x-\pi}\right)}\right)$
Step-by-step Solution
Learn how to solve limits by direct substitution problems step by step online. Find the limit of tan(x)/(-2/(2x-pi)) as x approaches pi/2. Divide fractions \frac{\tan\left(x\right)}{\frac{-2}{2x-\pi }} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Evaluate the limit \lim_{x\to{\frac{\pi }{2}}}\left(\frac{\left(2x-\pi \right)\tan\left(x\right)}{-2}\right) by replacing all occurrences of x by \frac{\pi }{2}. Multiply the fraction and term in 2\cdot \left(\frac{\pi }{2}\right). Simplify the fraction \frac{2\pi }{2} by 2.
Find the limit of tan(x)/(-2/(2x-pi)) as x approaches pi/2
Final answer to the exercise
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