# The limit

Calculus Level 4

$\large \displaystyle\lim_{x\rightarrow 0} \dfrac {axe^x-b\log (1+x)+cxe^{-x}}{x^2\sin x}=2$

If $$a,b$$ and $$c$$ are constants satisfying the equation above, find $$a+b+c$$.

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