lim(x->0)(cosx) ^[(cotx) ^2]

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lim(x->0)(cosx) ^[(cotx) ^2]
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lim(x->0)(cosx) ^[(cotx) ^2]
lim(x->0)(cosx) ^[(cotx) ^2]

lim(x->0)(cosx) ^[(cotx) ^2]
lim(x->0)(cosx) ^[(cotx) ^2]
=e^[lim (cotx)^2*lncosx]
=e^[lim (cotx)^2*ln(1+cosx-1)]
=e^[lim (cotx)^2*(cosx-1)]
=e^[lim (1/x^2)(-1/2)x^2]
=e^(-1/2)