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Evaluate: ("lim")(xvec2)(int0"x"cost^2dt...

Evaluate: `("lim")_(xvec2)(int0"x"cost^2dt)/x`

Text Solution

Verified by Experts

The correct Answer is:
`1`
Given limit is of the form `0/0`.
Then by L'Hopital's rule.
Given limit `lim_(xto 0) (int_(0)^(x)cos t^(2)dt)/x =lim_(xto 0) (cosx^(2))/1=1`.
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