Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series. In(8) 8 In(9) 9 In(12) 12 In(x + 7) dx = x + 7 O converges O divorno + In(10) In(11) 10 11 + + +...

Q: b) Use the Ratio Test to determine if the series converges diverges. or n5" (2n + 3)ln (n + 1) n=1

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Q: π Σn=13 + (-1)"+1n! Зе 3"

A: Ratio test: Suppose we have the series ∑n=0∞an Define, L=limn→∞an+1an. Then, (a) if L<1 the…

Q: The interval of convergence of the series (4x-12)" is Zn=0 -3)-+" (n+1) Select one: True O False

A: We can find the interval of convergence by using the ratio test .

Q: Consider the series Σ (-1)" n! n=0 Show that this series converges.

A: Given series

Q: Use the Integral Test to determine, which statement is correct for the infinite series E n /10. The…

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Q: Show whether the series converges or diverges, and state the test used to make this determination. ∞…

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Q: Use the Integral Test to determine the convergence or divergence of the series. Inn ,10 2-272 a.…

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Q: Use the Integral Test to determine whether the series is convergent or divergent. In n n=1

A: Here That implies By integral test, if convergent, then also convergent.

Q: ∞ n=1 In(n) 2n

A: Here for the given series we have to find whether it is Convergent or divergent using integral test.…

Q: fa 79 COS nX COs mxdx

A: 2CC=C+C2cos nx cosmx          =cosx(n+m)+cosx(n-m)I=∫02π cosnx cosmx  dxI=12∫02πcosx(n+m)+cosx(n-m)…