lim (tanx-sinx)/x (x→0)的极限； lim (1-cos4x)/xsinx (x→0)的极限

lim (tanx-sinx)/x (x→0)的极限； lim (1-cos4x)/xsinx (x→0)的极限
lim (tanx-sinx)/x (x→0)的极限； lim (1-cos4x)/xsinx (x→0)的极限

lim (tanx-sinx)/x (x→0)的极限； lim (1-cos4x)/xsinx (x→0)的极限
lim (tanx-sinx)/x (x→0)
=lim sec^2x-cosx)(x→0)
=1-1=0
lim (1-cos4x)/xsinx (x→0)
=lim (1/2)*16x^2/x^2 (x→0)
=8