求极限lim(x→0)[2sinx+x^2(sin1/x)]/ln(1+x)

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求极限lim(x→0)[2sinx+x^2(sin1/x)]/ln(1+x)求极限lim(x→0)[2sinx+x^2(sin1/x)]/ln(1+x)求极限lim(x→0)[2sinx+x^2(si

求极限lim(x→0)[2sinx+x^2(sin1/x)]/ln(1+x)
求极限lim(x→0)[2sinx+x^2(sin1/x)]/ln(1+x)

求极限lim(x→0)[2sinx+x^2(sin1/x)]/ln(1+x)
分成两部分
lim(x→0) 2sinx/ln(1+x) sinx~x ln(1+x)~x
=lim(x→0) 2x/x
=2
lim(x→0) |x^2(sin1/x)/ln(1+x)|

=lim﹙2x﹚/x+limx﹙sin﹙1/x﹚﹚=2