(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Lim [(tanx)^2] / [1 + secx] <<< as x goes to pi

2. Relevant equations

3. The attempt at a solution

(tan x)^2 = (sin x)^2 / (cos x)^2

(sin x)^2 = y

lim y = 0 <<< as x goes to pi

lim [y/ (cos x)^2] / [1 + (1/y)] <<< as y goes to C=0

1+ (1/y) = (y+1)/y

lim [y^2] / (y+1) (cos x)^2

y=0

so, 0/(0+1)(cos 0)^2 = 0/1(1) = 0/1 = 0

why does my book mentions that answer is -2?

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# Finding a limit using substitution rule, my answer is 0, my book`s is -2

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