Questions asked
Sam Stansfield
Numerade educator
Use the Comparison Test to determine whether the series converges. [ sum_{k=1}^{infty} frac{1}{6 k-sqrt[3]{k}} ]
( sum_{n=0}^{infty} frac{sin frac{(n+1) pi}{2}}{7^{n}} )
Determine if the series converges or diverges; if the series converges, find its sum. \[ \sum_{n=0}^{\infty} \frac{\sin \frac{(n+1) \pi}{2}}{7^{n}} \]
Determine if the series converges or diverges; if the series converges, find its sum. [ sum_{n=1}^{infty}(-1)^{n-1} frac{4}{9^{n}} ]
Zhumagali Shomanov
Determine if the series converges or diverges; if the series converges, find its sum. sum_{n=0}^{infty}left(1+frac{3}{n} ight)^{3 n}
Determine whether the series ( sum_{n=1}^{infty} frac{3^{n}+2^{n}}{7^{n}} ) converges or diverges. If it converges, find its sum.
William Semus
Determine whether the sequence converges or diverges. If it converges, find the limit [ a_{n}=left(frac{7 n}{n+1} ight)^{n} ]
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Graph the pair of parametric equations with the aid of a graphing calculator. x = 5 cos 2t + 4 cos 6t, y = 5 sin 2t - 4 sin 6t, 0 <= t <= pi
Find the Taylor series generated by ( f ) at ( x=a ). [ f(x)=e^{2 x}, a=7 ]
Find the first three nonzero terms of the Maclaurin series for the given function and the values of x for which the series converges absolutely. f(x) = ( cos x) ln (1 + x)