Calculus question!
Find the limit as x approaches infinity

Question

Calculus question! 
Find the limit as x approaches infinity

anonymous · Answer

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

kainui · Answer

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

anonymous · Answer

$$\frac{ 2 }{ 3}t ^{\frac{ 3 }{ 2 }}$$

kainui · Answer

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

anonymous · Answer

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

kainui · Answer

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.

anonymous · Answer

$$2x ^{^{\frac{ 1 }{ 2 }}}-2$$

anonymous · Answer

all over sqrtx right?

kainui · Answer

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.

anonymous · Answer

is the final answer 2?