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If primitive of sin (log x) is f(x)*{sin...

If primitive of `sin (log x)` is `f(x)*{sin g(x)- cos h(x)}+c,` (c being constant of integration), then (i) `lim_(x->2)f(x)=1` (ii) `lim_(x->1)g(x)/(h(x))=1` (iii) `g(e^3)=3` (iv) `h(e^5)=5`

A

`lim_(xto2)f(x)=1`

B

`lim_(xto1)(g(x))/(h(x))=1`

C

`g(e^(3))=3`

D

`h(e^(5))=5`

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