problem \[\lim _{x \rightarrow 0} \frac{\mathrm{e}^{(1+x)^{\frac{1}{x}}}-(1+x)^{\frac{e}{x}}}{x^ ...

problem1 \[\int\frac{dx}{\sin 2x+2\sin x} \] solution1.1 \[\int\frac{dx}{\sin 2x+2\sin x}= ...

problem \[\text { 求极限: } \lim _{x \rightarrow+\infty} \frac{\int_{0}^{x} \frac{|\sin t|}{t} d t} ...

problem1 \[\text { 求极限: } \lim _{x \rightarrow 0} \frac{e^{x}-e^{-x}}{\ln (1+\sin x)} \text {. } ...