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Why does sum(1/n) diverge but sum(1/n^2) converge?

Sum(1/n) is shown to converge by bracketing the series correctly and then comparing it with a series we know diverges. Sum(1/n^2) can be shown to converge via the integral test (using y=1/x^2), where the...

Answered by MAT tutor
12468 Views

'Jane Eyre is a radical novel that critiques the institutions of Victorian society such as religion and marriage'. Discuss.

The novel of Jane Eyre did cause controversy at the time of its release. Whilst some considered it to be modern and progressive, a more general critique was that the novel was radical, trampling on the in...

MB
6134 Views

Solve equation 5^(2*x) = 5^(x)+5

First lets put all terms on the LHS;52x-5x-5 = 0 (1);Now, to help us observe a pattern, put brackets on each term and separate power of x from its coefficients(5x)2...

EL
Answered by Elvis L. Maths tutor
3187 Views

What are the 4 main areas of the brain and what functions do they each do?

Cerebrum (also called the cerebral cortex) gives us our personality and intelligence CereBELLum keeps us balanced and controls coordination (the way I remember this is that BELLe from beauty and the beast...

CF
Answered by Chloe F. Biology tutor
2122 Views

what tense is 'effervescebat' in

Imperfect

FH
Answered by Fae H. Latin tutor
968 Views

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