Calculating the limit of function with constants

[Andyii]

Hello, could anyone help me solve or give a general idea on where to start with this function?

The answer is supposed to be a/m - b/n but I'm not quite sure how to get there.

 

[Deleted member 4993]

Hello, could anyone help me solve or give a general idea on where to start with this function?

The answer is supposed to be a/m - b/n but I'm not quite sure how to get there.

View attachment 32519

The answer is supposed to be a/m - b/n but I'm not quite sure how to get there.

Where did these 'a' and 'b' come from? I have a strong suspicion, but need to hear from you.

Do you know L'Hopital's rule? And:

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem

 

[blamocur]

A hint: you might find this helpful:

$$\sqrt[m]{1+ax} - \sqrt[n]{1+bx} = \left( \sqrt[m]{1+ax} - 1 \right) - \left( \sqrt[n]{1+bx} - 1 \right)$$