Check Your Work: Get Accurate Results for Limit Problems | Homework Help

[styxrihocc]

Homework Statement

Hey I just need someone to check my work to make sure I did it right, thanks.

 

[Mark44]

Homework Statement

Hey I just need someone to check my work to make sure I did it right, thanks.

The step above has an error. ln <whatever> ≠ e^ln<whatever>.

Also, how did you go from (1 - 3/x)^{2x + 10} to (-3/x *2x + 10)?

Finally, e^ln(-6) ≠ -6, because ln(-6) is undefined.

 

[Mark44]

I should mention that posting a bunch of images of the work you've done makes it much more difficult to point out where errors happen to be. Using LaTeX you can format your work exactly as you have it in the images you uploaded.

 

[styxrihocc]

I should mention that posting a bunch of images of the work you've done makes it much more difficult to point out where errors happen to be. Using LaTeX you can format your work exactly as you have it in the images you uploaded.

Sorry but typing in latex takes too long so i just cropped the pics straight from my doc file

The step above has an error. ln <whatever> ≠ e^ln<whatever>.

Also, how did you go from (1 - 3/x)^{2x + 10} to (-3/x *2x + 10)?

from this formula in my textbook:

Anyway seeing as my answer is wrong how should i go about this problem?

 

[Mark44]

Sorry but typing in latex takes too long so i just cropped the pics straight from my doc file

What turns out to be a convenience for you is inconvenient for me, and possibly others at this site whose help you are seeking.

from this formula in my textbook:

Are you sure you typed the formula correctly? I've never seen the formula that you wrote, and I'm pretty sure it is incorrect.

Anyway seeing as my answer is wrong how should i go about this problem?

Your answer is correct, but you work along the way is not for the reasons I already gave.

The easiest thing to do is to rewrite ln(1 - 3/x)^{2x + 10} as (2x + 10)*ln(1 - 3/x), and then rearrange so that you can use L'Hopital's Rule.