Question

The value of `lim_(x -> 0) [(d/(dx) int_0^(x^2) sec^2 xdx),(d/(dx) (x sin x))]` is equal to

Options

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Answer 1

0

Explanation:

`lim_(x -> 0) (d/dx int_0^(x^2) sec^2 x  dy)/(d/(dx) (x sin x))`

= `lim_(x -> 0) (tan  x^2)/(sin x + x cos x)`

= `lim_(x -> 0) ((tan  x^2)/x^2 xx x^2)/(x(sinx/x + cos x)`

= `1.0/((1 + 1))`

= 0