Sums - Wolfram|Alpha Examples

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Infinite Sums

Find the sum of an infinite number of terms.

Compute an infinite sum:

sum 1/n^2, n=1 to infinitysum x^k/k!, k=0 to +oo Start Summation, Start index of summation, i , index of summation End,Start lower bound, 3 , lower bound End,Start upper bound, ∞ , upper bound End,Start expression, Start Fraction, Start numerator, Start Power, Start base, (-1) , base End,Start exponent, i , exponent End , Power End , numerator End,Start denominator, Start Power, Start base, (i - 2) , base End,Start exponent, 2 , exponent End , Power End , denominator End , Fraction End , expression End , Summation End∞i=3-1ii-22 

Sum a geometric series:

sum (3/4)^j, j=0..infinitysum x^n, n=0 to +oo

Compute a sum over all integers:

sum 1/(1+n^2), n=-oo to +oo

Compute an infinite sum (limits unspecified):

sum 1/n^2

Sum an incompletely specified infinite series:

1/2 + 1/4 + 1/8 + 1/16 + ...1/2^2 + 1/3^2 + 1/5^2 + 1/7^2 + ...

Từ khóa » Xn K=1 K 3 = N(n + 1) 2 2