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Let f : R to R be a continuous function ...

Let f : R `to` R be a continuous function satisfying
`f(x)+underset(0)overset(x)(f)"tf"(t)"dt"+x^(2)=0`
for all `"x"inR`. Then-

A

`lim_(x to oo) f(x) = 2` s

B

`lim_(xto oo) f(x) = -2`

C

f(x) has more than one point in common with the x-axis

D

f(x) is an odd function

Text Solution

Verified by Experts

The correct Answer is:
B
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