If `f(x)=(x+1)^(cotx)` is continuous at x=0, then what is f(0) equal to?

If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to

If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to (a) 0 (b) 1/e (c) e (d) none of these

If f(x)=(x+1)^(cot x) be continuous at x=0, the f(0) is equal to 0( b) (1)/(e)(c)e(d) none of these

If f(x) =(x-x_(0)) phi (x) and phi (x) is continuous at x=x_(0) then what is f(x_(0)) equal to ?

If f(x)=(1+x)^(5//x) is continuous at x=0, then what is the value of f(0)?

If f(x)=((3x+tan^(2) x)/x) is continuous at x=0 , then f(0) is equal to.

In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, the value of f(0) must be defined as