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Let f be function f(x)=cosx-(1-X^(2)/(2)...

Let f be function `f(x)=cosx-(1-X^(2)/(2))`.Then

A

f(x) is an increasing function in `(0,oo)`

B

f(X) is a decresing function in `(-oo,oo)`

C

f(X) is an increasing function in `(-oo,oo)`

D

f(x) is a decreasing function in `(-oo,0)`

Text Solution

Verified by Experts

The correct Answer is:
1,4
f(x) =`cos x -(1-(x^(2))/(2))`
`therefore f(x)=-sin x+x`
`sinx lt x if x gt 0 and sinx gt x if x lt 0`
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