If f(x) = (2x+ tanx)/(x) , x!=0, is cont...

If `f(x) = (2x+ tanx)/(x) , x!=0`, is continuous at x = 0, then f(0) equals

A

(a) 0

B

(b) 1

C

(c) 2

D

(d) 3

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If f(x) = (tan(x^(2)-x))/(x), x != 0 , is continuous at x = 0 , then f(0) is

If f(x) = sin x - cos x , x != 0 , is continuous at x = 0, then f(0) is equal to

If f(x) = (log_(e)(1+x^(2)tanx))/(sinx^(3)), x != 0 is continuous at x = 0 then f(0) must be defined as

If the function f(x)=(2-sqrt(x+4))/(sin2x)(x ne 0) is continuous at x = 0, then f(0) is equal to -

If f(x) = ((1+sinx)-sqrt(1-sinx))/(x) , x != 0 , is continuous at x = 0, then f(0) is

If f(x) = {((sin3x)/(x), x !=0),(k/2,x=0):} is continuous at x = 0, then the value of k is

If f(x) = (e^(x)-e^(sinx))/(2(x sinx)) , x != 0 is continuous at x = 0, then f(0) =

If f(x) = (e^(x^2)-cos x)/(x^(2)), "for" x != 0 is continuous at x = 0, then value of f(0) is