Home
Class 11
MATHS
f(x) = {:([x] + [-x] x ne 2),(" "lamb...

`f(x) = {:([x] + [-x] x ne 2),(" "lambda " " x = 2 ):}` f(x) is continuous at x = 2 then ` lambda ` =

A

1

B

0

C

-1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If f : R to R is defined by f(x) = {:{ ((cos 3x - cos x)/(x^(2) ), " for " x ne 0), (lamda , " for " x =0):} and if f is continuous at x =0 , then lamda is equal to

f(x) = (x^(3) + x^(2) - 16 x + 20)/((x - 2)^(2)) " if " x ne 2 , = k if x = 2 , f(x) is continuous at x = 2 then

If f: R to R" is defined by f(x)"={{:(,(cos 3x-cosx)/(x^(2)),"for "x ne 0),(,lambda,"for "x=0):} and if f is continuous at x=0, then lambda=

f(x) = {{:((36^(x) - 9^(x) - 4^(x) + 1)/(2sin^(2) ((x)/(4)) )" if " x ne 0),(k " if " x = 0):} is continuous at x = 0 then k =

f(x) ((sinx)/(sina))^((1)/(x-a) ) " if " x ne a and f(x) = k if x = a and f(x) is continuous at x = a then k =

Show that f(x) = (cos3x - cos4x)/(xsin 2x), x ne 0 , f(0) = (7)/(4) is continuous at x = 0 .

If f(x)=(sin^(2)ax)/(x^(2))" for "x ne 0, f(0)=1 is continuous at x=0 then a=

If f(x) = {{:(|x| cos ""((1)/(x)) + 9x^(2) " , " x ne 0 ),( k " , " x= 0):} then f is continuous if the value of 'k' is

if f(x)=(1-cos ax)/(x sin x)" for "x ne 0, f(0)=1//2 is continuous at x=0 then a=