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7. Use the Integral Test to determine whether the following series converges or diverges. Solving using other methods will not be credited. 00 k +1
7. Use the Integral Test to determine whether the following series converges or diverges. Solving using other methods will not be credited. 00 k +1 OO k2 + 2k +4 3k (a) *=0 (b ) K=] efox ) = astaxt 4 fox) is decreasing if derivative f'(x) co # x f (x ) = ( x ? tax+ 4 ) (x +1) - (24+1) (32+2x +4) (x " taxt 4 ) ? 2tax+ 4 - ( x+1 ) (axt2 ) (x 2 taxt 4 ) ? flcxx ) = = - x - ax + 2 ( 2 0 2 + 2 x + 4 ) f (xx ) is not always less than zeso. you can vearly for taking some pasticular values like x = 0. That' ? why f is not decreasing function
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