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" (5) "lim(x rarr0)(sin(pi cos^(2)x))/(x...

" (5) "lim_(x rarr0)(sin(pi cos^(2)x))/(x^(2))=cdots

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lim_(x rarr 0) sin(pi cos^2x)/x^2=

lim_(x rarr 0) (sin(pi sin^2 x))/x^2=

lim_(x rarr0)(sin^(2)x(1-cos2x))/(x^(2))

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

lim_(x rarr0)[sin x]

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

(lim)_(x rarr0)(sin(pi cos^(2)x))/(x^(2)) is equal to

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lim_(x rarr0)cos(sin x)