1. If =
+ 1, ≤
cos , > is continuous at = , then value of
is:
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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
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