Question

Calculus question!
Find the limit as x approaches infinity

Answer 1

\[1/\sqrt{x}\int\limits_{1}^{x}dt/\sqrt{t}\]

Answer 2

Can you solve the integral? You should rewrite t with an exponent instead to help.

Answer 3

\[\frac{ 2 }{ 3}t ^{\frac{ 3 }{ 2 }}\]

Answer 4

Ahhh not quite, that would the integral if the question was \[\large \int\limits \sqrt{t}dt\] but this is slightly different. =)

Answer 5

oops.. lol\[2t ^{\frac{ 1 }{ 2 }}dt\]

Answer 6

Well almost, after you integrate it the 'dt' part goes away and now you have to evaluate it at the end points, x and 1.

Answer 7

\[2x ^{^{\frac{ 1 }{ 2 }}}-2\]

Answer 8

all over sqrtx right?

Answer 9

Well almost, after you integrate it the 'dt' part goes away and now you have to evaluate it at the end points, x and 1.

Answer 10

is the final answer 2?