Question

find the value of 'k' if the function f(x)=(ex-1)sin x/x², for x≠0=k, for x=0 is continous at x=0​

Answer 1

Answer:

Correct option is

C

2

D

-2

f(0)=

x→0

lim

sin(

k

2

x

2

)log{1+(

2

x

2

)}

(e

x

−1)

4

=8

⇒

x→0

lim

(

k

2

x

2

)

sin(

k

2

x

2

)

.

2

x

2

log{1+(

2

x

2

)}

2k

2

.(

x

e

x

−1

)

4

=8

⇒2k

2

=8⇒k=±2