Question

lim→sinmx/nx 的极限具体步骤

Answer 1

∵当m=0时,原式=lim(x->0)[sin(0*x)/(nx)]

=lim(x->0)[0/(nx)]

=0

=m/n

当m≠0时,原式=(m/n)lim(x->0)[sin(mx)/(mx)]

=(m/n)*1 (应用重要极限)

=m/n

∴原式=m/n （m是任意常数）.