Home
Class 12
MATHS
Let f (x) = sin x - cos x. Then the valu...

Let `f (x) = sin x - cos x.` Then the value of `lim _( x to pi/2) ""(f (x)- f ((pi)/(2)))/(x - (pi)/(2))` is

A

a) 0

B

b) `1/2`

C

c) `(1)/(sqrt2)`

D

d) 1

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

What is the value of lim_(x rarr pi/2) cos x ?

Evaluate lim_(x rarr pi/2) (tan 2x)/(x - pi/2)

If f (x)= int _(1) ^(x) sin ^(2) ((t)/(2)) dt, then the value of lim _(x to 0) (f (pi +x ) -f (pi))/(x) is equal to

Evaluate lim_(x rarr pi) (sin (pi - x))/(pi(pi - x))

Let f:RtoR and g:R toR be continuous functions. Then the value of int_(-pi//2)^(pi//2)(f(x)+f(-x))(g(x)-g(-x))dx is