If a_ n = ( _ e 3 )^ n _ k=0 ^ n 1 k!(n-k)! , for n ≥ 0 then a_ n +a_ 1 +a_ 2 + =

Mathematics · JEE Main · NTA Exams — Binomial Theorem And Its Simple Applications

If \(a_{n}=\left(\log _{e} 3\right)^{n} \sum_{k=0}^{n} \frac{1}{k!(n-k)!}\), for n ≥ 0 then \(a_{n}+a_{1}+a_{2}+\ldots \infty\) =

Answer

(D) None of these

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

If (1-x+x^ 2 )^ 7 =a_ n +a_ 1 x+ +a_ 2 n x^ 2 n then the value of a_ n +a_ 2 +a_ 4 + +a_ 2 n i 5
If f(x)=(1+x)^ then the value of f(0)+f^ (0)+ f^ (0) 2! + + f^ (0) n! is
The term independent of x in expansion of ( x+1 x^ 2 / 3 -x^ 1 / 3 +1 - x-1 x-x^ 1 / 2 )^ 1 is
The coefficient of x^ 4 in the expansion of (1+2 x+3 x^ 2 + )^ 1 / 2 is :
If the coefficients of r th , (r+1) th and (r+2) th terms in the binomial expansion of (1+y)^ m are in AP…
If n N and the coefficients of x –7 and x –8 to the expansion of (2+ 1 3 x )^ n are equal then n =
The coefficient of x 8 y 10 in the expansion of (x + y) 18 is
Co-efficient of x 5 in the expansion of (x 2 – x – 2) 5 is :