Prove that `1/(n !)+1/(2!(n-2)!)+1/(4!(n-4)!)+...=1/(n !)2^(n-1)`
43 views · Published 13 October 2018 · 3:48 · Indexed 22 September 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW Prove that `1/(n !)+1/(2!(n-2)!)+1/(4!(n-4)!)+...=1/(n !)2^(n-1)`
More from this channel
-
4:29
IIT JEE LIMITS AND DERIVATIVES Evaluate the limit:
`("lim")_(xvecoo)((x+2)/(x+1))^(x+3)`
-
4:19
IIT JEE PERMUTATIONS AND COMBINATIONS Find the number of distinct rational numbers `x`
such that ...
-
2:15
IIT JEE PERMUTATIONS AND COMBINATIONS Find the sum of the series `sum_(r=1)^n rxxr !dot`
-
2:47
JEE MAINS 2018 Find the points of local maxima and local minima,
if any, of each of the follo...
-
3:03
Find the number of polynomials of the form `x^3+a x^2+b x+c`
that are divisible by `x^2+1,w h e...
-
3:16
IIT JEE PERMUTATIONS AND COMBINATIONS Find the number of ways in which 6 boys and 6 girls can be ...
-
3:54
IIT JEE COMPLEX NUMBERS AND QUADRATIC EQUATIONS Find how many roots of the equations `x^4+2x^2-8x...
-
3:54
IIT JEE TRIGONOMETRIC FUNCTIONS One of the general solutions of `sqrt(3) cos theta-3 sin theta=4 ...