Find the value of- limx -0 axex - b ln 1 - x - cxe - x-x-

We have, #160; lim_x →0 axe^x b ln (1 + x) + cxe^ xx it is in the form of 0 0 Using L'Hopital's rule : =axe^x+ae^x b1+x+ce^ x cxe^ x1 ...

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Indeterminate Forms

Find the valu...

Question

Find the value of:
$lim x \to 0 \frac{a x e^{x} - b ln (1 + x) + c x e^{- x}}{x} =$

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f_{X} (x)

f_{X} (x) = {\begin{matrix} C x e^{- x}; x > 0 0; x \leq 0 \end{matrix}

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