L'Hopital problem

A

asifrahman1988

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The first appearance in print of L’Hˆopital’s Rule was in the book Analyse des Infiniment Petits published by the Marquis de L’Hopital in 1696. This was the first calculus textbook ever published and the example that the Marquis used in that book to illustrate his rule was to find the limit of the function

x =

(√(2a3x−x4)) − (a(3√(aax)))
a - (4√(ax3))


as x approaches a, where a > 0. (At that time it was common to write aa instead of a2.) Solve this problem

N.B. : √ = route
 
asifrahman1988 said:
The first appearance in print of L’Hˆopital’s Rule was in the book Analyse des Infiniment Petits published by the Marquis de L’Hopital in 1696. This was the first calculus textbook ever published and the example that the Marquis used in that book to illustrate his rule was to find the limit of the function

x =

(√(2a3x−x4)) − (a(3√(aax)))
a - (4√(ax3))


as x approaches a, where a > 0. (At that time it was common to write aa instead of a2.) Solve this problem

N.B. : √ = route
Click to expand...

You have posted 6 problems without showing a line of work.

Looks very much like a take-home exam for spring-break!!

Please share your opinions and your reasons behind those opinions - with us.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...217#post322217

We can help - we only help after you have shown your work - or ask a specific question (e.g. "are these correct?")
 
Subhotosh Khan said:
You have posted 6 problems without showing a line of work.

Looks very much like a take-home exam for spring-break!!

Please share your opinions and your reasons behind those opinions - with us.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...217#post322217

We can help - we only help after you have shown your work - or ask a specific question (e.g. "are these correct?")
Click to expand...



Hi, sorry. i was in a hurry. the answer i am getting for this question is 16/9 after differentiating with l'hopital's rule.

i'm having trouble writing down the work here with formatting. but if anyone can please confirm if the answer is correct, it would be a great help
 
asifrahman1988 said:
The first appearance in print of L’Hˆopital’s Rule was in the book Analyse des Infiniment Petits published by the Marquis de L’Hopital in 1696. This was the first calculus textbook ever published and the example that the Marquis used in that book to illustrate his rule was to find the limit of the function

x =

(√(2a3x−x4)) − (a(3√(aax)))
a - (4√(ax3))


as x approaches a, where a > 0. (At that time it was common to write aa instead of a2.) Solve this problem

N.B. : √ = route
Click to expand...

Is that correct?
 
You wrote:

x =

(√(2a3x−x4)) − (a(3√(aax)))
a - (4√(ax3))
Click to expand...

on the left-hand-side of the equation you have "x".

I was questioning "correctness" of that.
 
I got the limit to be 16a/9 too!

We must be right....
 
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