152pretest

# 152pretest - ratio test root test a n 6→ b n> 0 →...

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Question 1 Choose the best integration technique for each integral. Integral u - substitution integration by parts trigonometric substitution integration by fractional parts u = . . . , du = . . . u = . . . , v 0 = . . . x = . . . , dx = . . . general terms R x ln ( x ) dx R 1 x 2 - 7 x + 10 dx R 1 4 - x 2 dx R 1 ( 9 x 2 - 1 ) 5/2 dx R 5 xe x 2 dx R 1 x ( x + 1 ) dx R 3 x + 2 x 2 - 2 x + 1 dx R 3 x sin ( x 2 ) dx R x cos ( x ) dx R x 2 e x dx R e x 2 x dx R 2 x 4 + x 2 dx

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Question 2 Choose the best convergence test for each inﬁnite series. Don’t forget to state whether the series converges or diverges! Series C / D divergence test alt. series test integral test comparison test limit comparison test
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Unformatted text preview: ratio test root test a n 6→ b n > 0, → technique a n <> b n | a n b n | → . . . | a n + 1 a n | → . . . n p | a n | → . . . ∑ 2 n 4 n + 6-n ∑ (-1 ) n n n + 2 ∑ (-1 ) n ln ( n ) n 2 ∑ ( n 3 n + 1 ) n ∑ ne-n 2 ∑ 2 n 3 n 4 + 4 n 2 ∑ (-1 ) n cos ( π n ) ∑ (-1 ) n 5 n n ! ∑ 1 n ln ( n ) ∑ (-1 ) n 1 n ln ( n ) ∑ ( 1 2 + 1 n )-n ∑ 1 ( 2 n ) ! ∑ 1 √ n 3-3...
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152pretest - ratio test root test a n 6→ b n> 0 →...

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