Let f : R to [0,oo)" be such that "under...

Let `f : R to [0,oo)" be such that "underset(x to 5)lim f(x)" exists and "underset(x to 5)lim ([f(x)]^(2)-9)/(sqrt(|x-5|))=0." Then "underset(x to 5)lim f(x)` is equal to:

A

3

B

0

C

1

D

2

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

Let f :R to [0,oo) be such that lim_(xto3) f(x) exists and lim_(x to 3) ((f(x))^2-4)/sqrt(|x-3|)=0 . Then lim_(x to 3) f(x) equals

Let f:R rarr[0,oo) be such that lim_(x rarr5)f(x) exists and lim_(x rarr5)([f(x)]^(2)-9)/(sqrt(|x-5|))=0 .then,lim_(x rarr6)f(x) equals to

underset(x to oo)lim (x^2+5x+6)/(x^2-x-6)

If underset(x to a)("lim")(f(x)-f(a))/(x-a) exists, then

Find (i) underset(x to 5)(lim 6) (ii) underset(x to 2)(lim x) (iii) underset(x to 3)(lim [x + 2]) (iv) underset(x to 2)(lim 4x + 2])

If f(9)=9" and "f'(9)=4," then "underset(xto9)("lim")(sqrt(f(x))-3)/(sqrt(x)-3)=