Find out the answer to "lim x → π 2 ( 1 −..." - Plainmath

Kade Ibarra

Answered question

2022-06-03

lim_{x \to \frac{π}{2}} (1 - \frac{π}{2}) \tan (x)

I'm trying to putting

x = t + π / 2

zero is in denominator

Answer & Explanation

Shayna Woods

Beginner2022-06-04Added 3 answers

Set

x - \frac{π}{2} = u

(

(u \to 0

when

x \to \frac{π}{2}

), and note

(x - \frac{π}{2}) \tan x = - \frac{u}{\tan u} \sim_{0} - \frac{u}{u} = - 1.

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