Question

does the series x^.5 converged or diverge and why?

Answer 1

one way is to find the limit as x -> infinity, so what's the limit of the function? you'll notice it goes to infinity too, so it diverges ^_^

Answer 2

what if its is alternating (-1)^x * x^.5?

Answer 3

it also diverges :)

Answer 4

you just disregard the alternating part

Answer 5

when you get 1 value as your answer , then it's convergence, but if it goes to infinity and you have more than one value as an answer then it's also diverging ^_^

Answer 6

converging*

Answer 7

Thanks a lot :)
I <3 calc 2 haha

Answer 8

lol, most welcome ! enjoy math! :)