Question

arbitrary series whitch 6. For whitch p can you guarantee that if > an is an converges than so does 1 n Pan ? That about absolute converges? n=1 n=1

Answer 1

We can use property

ax b

if

$\sum a$ and $\sum b$ are convergent

then

will also be convergent

ax b

we are given

Σ n=1

So, for product to be convergent , each terms should be convergent

P n=1

1 Σ nP n=1

we can use p-series test

This series is convergent only for

.................Answer