Question

what is the limit of this ?

Answer 1

the limit of what

Answer 2

\[\lim_{x \rightarrow \pi/4} (\sec x)*( (\sin^2 x +\cos^2 x )/\tan^2 x ) = ?\]

Answer 3

@TheSmartOne your opinion please ?

Answer 4

we know that sec x = 1/cos x

sin^2 x +cos^2 x = 1

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

Answer 5

so this is equal

1 1 1 cos^2 x cos x
------ * ----------------- = ----- * --------- = ------- =
cos x (sin^2 x)/(cos^2 x) cos x sin^2 x sin^2 x

Answer 6

cos pi/4 = sqrt2 /2