Question

1. If =
+ 1, ≤

cos , > is continuous at = , then value of
is:​

Answer 1

Answer:

Answer

Given that, f(x)=

⎩

⎪

⎨

⎪

⎧

x

1−cosx

; x



=0

k; x=0

Now, It is given that f(x) is continuous at x=0

∴

x→0

lim

f(x)=

x→0

lim

x

1−cosx

=k

Using L'Hospital's rule, we get

x→0

lim

sinx=k

⇒0=k