Binomial TheoremHard

Question

The coefficient of x6 in series e^2x is

Options

A.4/45

B.3/45

C.2/45

D.none of these

Solution

As we know
e^x = 1 + + .....
∴ e^2x =
Hence coefficient of x⁶ is =

Create a free account to view solution

View Solution Free

Topic: Binomial Theorem·Practice all Binomial Theorem questions

More Binomial Theorem Questions

The sum is equal to :...Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. T...The coefficient of x5 in the expansion of (1 + x)3.(1 − x)6 is -...If (1 + 2x + 3x2)10 = a0 + a1x + a2x2 +.... + a20x20, then :...If (1 + x)n = C0 + C1x + C2x2 + .....+ Cnxn, then C0C2 + C1C3 + C2C4 + ......+ Cn-2 Cn is equal to -...