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lim(x->oo)a^xsin(b/(a^x)),\ a , b >1 is ...

`lim_(x->oo)a^xsin(b/(a^x)),\ a , b >1` is equal to
a.`b`
b . `a`
c. `a(log)_e b`
d. `b(log)_e a`

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`lim_(x->oo)a^xsin(b/(a^x))`
`=lim_(x->oo) b((sin(b/(a^x)))/(b/(a^x)))`
Take `b/(a^x)=y`
Then
`=lim_(y->0) (bsiny)/y`
`=b`
Hence correct option is (a)
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