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Question

Question: In the expansion of \(\frac{e^{5x} + e^{x}}{e^{3x}}\), the coefficient of \(x^{4}\)is....

In the expansion of e5x+exe3x\frac{e^{5x} + e^{x}}{e^{3x}}, the coefficient of x4x^{4}is.

A

6/56/5

B

4/3

C

– 4/3

D

None of these

Answer

4/3

Explanation

Solution

a+bxex\frac{a + bx}{e^{x}}

Coefficient ofxrx^{r}.