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2 years ago

Pls explain your answer

Mathematics

1 answer:

jasenka [17]2 years ago

7 0

Middle square area= 8x8=64
one triangle area = (8x8)/2
multiply the triangel area by four and add the square area-- (4x32)+64=192

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2 years ago

Test the series for convergence or divergence (using ratio test)

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Step-by-step explanation:

Step(i):-

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Let $U_{n} = (-1)^{n} \frac{n^{2} }{n^{3}+3 }$

By using Leibnitz's rule

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$U_{n} - U_{n-1} = \frac{n^{2}(n-1)^{3} +3)-(n-1)^{2} (n^{3} +3) }{(n^{3} +3)(n-1)^{3} +3)}$

Uₙ-Uₙ₋₁ <0

Step(ii):-

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= $= \lim_{n \to \infty}\frac{1 }{n(1+\frac{3}{n^{3} } ) }$

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2 years ago