Question

Please Evaluate the problem?

Answer 1

The limit is `2/sqrt(2) = sqrt(2)`

Explanation:

Since we're in the form `0/0`, use l'hospitals rule.

`L = lim_(x-> pi/4) (cosx- (-sinx))/1`

`L= lim_(x->pi/4) cosx + sinx`

`L = cos(pi/4) + sin(pi/4)`

`L = 2/sqrt(2)`

We can confirm graphically.

Hopefully this helps!