what is the limit of x^8/3 as x approaches 1000 from the right

Question

anonymous · Answer

what does that last part of the statement say?

anonymous · Answer

the natural log of x to the nth power is equal to ?

myininaya · Answer

Why is log needed to evaluate this limit?
The function is continuous at x=1000 which means you can just plug the number in to find that limit.

anonymous · Answer

im just so confused all together, ive been working on calculus for like 6 hour..... i just want to finish my homework lol

anonymous · Answer

so I take that back, i think ive been working on this for to long lol all you really needed to do was take 1000 and rase it to (8/3) thank you everyone for putting up with me...

myininaya · Answer

Whether it was x^(8/3) or x^8/3, both of these are continuous over the interval (-inf,inf), so you could use direct substitution here.

myininaya · Answer

In fact, I will state something in general:

If f is a function continuous at x=c, then 
$$\lim_{x \rightarrow c}f(x)=f(c) .$$

haseeb96 · Answer

sorry i want wrong way 
this is the solution of it |dw:1409118876698:dw|