Home
Class 12
MATHS
If f(x) {:(=(x^(2)-4x+3)/(x^(2)-1)", ...

If f(x) `{:(=(x^(2)-4x+3)/(x^(2)-1)", ..."x!=1 ),( =2", ..."x=1):}` then :
a)f(x) is continuous at x=1
b)f(x) is not continuous at x=1
c)`lim_(xto1)f(x)=2`
d)`lim_(xto1)f(x)=2` does not exists.

A

`lim_(xtol)f(x)=2`

B

f(x) is continuous at x=1.

C

f(x) is discontinuous at x=1.

D

`lim_(xtol)f(x)=2` does not exists.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) = {((x^(2)-4x+3)/(x^(2)-1), ",","for"x != 1),(2, ",", "for"x = 1 ):} , then

If f(x) = {:{((x -1)/(2x^(2) - 7 x +5) , " for " x ne 1) , (-1/3 , " for " x = 1):} then f' (1) is equal to

If f is differentiable at x=1, Then lim_(x to1)(x^2f(1)-f(x))/(x-1) is