Evaluate This Limit

Calculus Level 2

If lim⁡x→0aex−bcos⁡x+ce−xxsin⁡x=2,\text{If } \hspace{.1cm} \lim_{x \to 0} \frac{ae^x-b\cos x +ce^{-x}}{x \sin x}= 2,

then find a+b+ca+b +c.

Kushal Patankar by Kushal Patankar
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