求极限 lim (x->0) sin(sinx)/x
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求极限lim(x->0)sin(sinx)/x求极限lim(x->0)sin(sinx)/x求极限lim(x->0)sin(sinx)/xlim(x->0)sin(sinx)/x=lim(x->0)[
求极限 lim (x->0) sin(sinx)/x
求极限 lim (x->0) sin(sinx)/x
求极限 lim (x->0) sin(sinx)/x
lim (x->0) sin(sinx)/x
=lim (x->0) [sin(sinx)/sinx] * [sinx/x]
∵x->0 ; t= sinx-> 0,
lim (x->0) [sin(sinx)/sinx] = lim (t->0) sint/t = 1
=1*1
=1
lim (x->0) sin(sinx)/x
=lim（x->0）sin(sinx)/sinx * lim(x->0)sinx/x
=lim (sinx->)0sin(sinx)/sinx * lim(x->0)sinx/x
=1*1
=1
lim(x->0)sin(sinx)/x
=lim(x->0)[sin(sinx)/sinx]*(sinx/x)
=1*1=1
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