设f(z)=e^x(cosy+isiny),其中z=x+iy,问当z→∞时,f(z)有无极限
f(z)=(e^x)(cosy+isiny)
=(e^x)e^(yi)
=e^(x+yi)
=e^z
lim【z→∞】f(z)
=lim【z→∞】e^z
=e^lim【z→∞】z
极限不存在
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f(z)=(e^x)(cosy+isiny)
=(e^x)e^(yi)
=e^(x+yi)
=e^z
lim【z→∞】f(z)
=lim【z→∞】e^z
=e^lim【z→∞】z
极限不存在