lim(x->0)[cosx^(1/2)]^(π/x)
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lim(x->0)[cosx^(1/2)]^(π/x)
lim(x->0)[cosx^(1/2)]^(π/x)
lim(x->0)[cosx^(1/2)]^(π/x)
y=[cosx^(1/2)]^(π/x)=[cosx]^(π/2x),lny=(π/2x)*ln[cosx],y=e^((π/2x)*ln[cosx]),
lim(x->0)(π/2x)*ln[cosx]=lim(x->0)[πln[cosx]/(2x)=lim(x->0)[-πsinx/cosx]/2
=lim(x->0)[-πsinx/2cosx]=0.
lim(x->0)[cosx^(1/2)]^(π/x)=e^0=1
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