1) The seriesn=1[2n5+(3)n] converges to what number?

Use decimal notation, and round your answer to two decimal places.

2) Consider the series n=1nen2/25and choose the correct answers below.

• The functionf(x)nen2/25 is decreasing on the interval _______________.
• The integral 4xex2/25dxconverges to _____________.
• By the Integral Test, the given series converges or diverges?

3) We wish to estimate the value ofn=1nen using the inequalitiessn+n+1f(x)dxSsn+nf(x)dx with n=10. Choose the correct lower and upper bounds forS:

________ S ___________.

(use decimal form)