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" (vii) "li(x rarr0)(a^(x)-b^(x))/(sin x...

" (vii) "li_(x rarr0)(a^(x)-b^(x))/(sin x)

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lim_(x rarr0)(a^(x)-b^(x))/(sin x)

lim_(x rarr0)(a^(x)-1)/(sin x)=

lim_(x rarr 0) (a^(x)-b^(x))/x =

lim_(x rarr0)(a^(sin x)-1)/(sin x)

lim_(x rarr 0) (a^x-b^x)/x=

Lim_(x rarr0)(a^(sin x)-1)/(sin x)

lim_(x rarr0)(sin(x)^(x)) is

lim_(x rarr0)(sin x)^(x)

. lim_(x rarr0)(x^(2))/(sin x^(2))

lim_(x rarr0)((1)/(x))^(sin x)