1. (a) Use the integral test to show that P[infinity] n=1 1/n4 converges. (b) Find the 10th partial sum, s10, of the series P[infinity] n=1 1/n4 . (c) According to the Remainder Estimate for the Integral Test, we know that Z [infinity] n+1 1 x 4 dx ≤ s − sn ≤ Z [infinity] n 1 x 4 dx, (1) where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 . Use inequality (1) and s10 from

Step-by-step explanation:

a)

Substitute limits to get

=

Thus converges.

b) 10th partial sum =

=

c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)

where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .

(question is not clear)

step-by-step explanation:

(s)he  is right it would be 5.5% because it is smaller than 15.5% or anything smaller than 15.5% in general

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: