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like this?
\[\Large \lim_{h\rightarrow 0} \frac{\sqrt{2+h}-\sqrt{2}}{h}\]

just rationalize the numerator

and then take the limits after cancelling out the common factor

and if u r correct then the limit is undefined

oh. then we're looking at an infinite limit, or that the limit does not exist.

@sirm3d or @matricked do u mind explaining how you arrived at that?

The answer in the back of the book says that the limit does not exist. But I do not understand why

Yes you only proceed with algebraic manipulation if the "limit" is an indeterminate form.

okay, THANK YOU!

Welcome! Glad you understand.

Do you need help with anything else?

I have to go now so good luck!

ok, well thanks anyway! Appreciate it