Just for practice!#2

Calculus Level 4

Find \(a+b+c\) such that

\[\lim _{ x\rightarrow 0 }{ \frac { ax{ e }^{ x }-b.\log { (1+x) } +cx{ e }^{ -x } }{ { x }^{ 2 }sinx } } =\quad 2\].

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