Question

Lim as x goes to 0: (2sinxcosx)/(2x^2+x)=

Answer 1

`\displaystyle\lim_(x\to0)(2\sin x\cos x)/(2x^2+x)=2\left(\lim_(x\to0)\frac{\sin x }x\right)\left(\lim_(x\to0)(\cos x)/(x+1)\right)=2(1)\left(\frac1{0+1}\right)=2`