fernando rf9447 HW02 kalahurka 55295 3 Consequently the smallest integer value

# Fernando rf9447 hw02 kalahurka 55295 3 consequently

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1. series converges correct 2. series diverges Explanation: The function f ( x ) = 6 ln(2 x ) x 2 is continous and positive on [1 , ); in addi- tion, since f ( x ) = 6 parenleftbigg 1 2 ln 2 x x 3 parenrightbigg < 0 on [1 , ), f is also decreasing on this interval. This suggests applying the Integral Test, for then the series summationdisplay k =1 6 ln(2 k ) k 2 1 1 10.0points Determine the convergence or divergence of the series ( A ) 1 + 1 4 + 1 9 + 1 16 + 1 25 + ... , and ( B ) summationdisplay n =1 ne n 2 . 1. both series divergent 2. both series convergent correct 3. A convergent, B divergent 4. A divergent, B convergent Explanation:
e. Determine whether the seriessummationdisplayk=1k(k+ 2)4kconverges or diverges.

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• Fall '07
• Fakhreddine/Lyon
• Mathematical Series, lim