Limit as x -> 0 for ((√1+x)-1)/x

[Jeann25]

I need to find the limit as x-> 0 for ((√1+x)-1)/x
but I can't figure out how to get rid of x in the denominator or atleast make the limit not equal to 0 in the denominator. I know this is probably going back some, but it's been a little while since I've done this. I've tried about every trick I can think of, but I can't seem to figure it out, but my book seems to think there's an answer.

 

[Tide]

Are you familiar with l'Hopital's rule?

 

[HallsofIvy]

Tide, L'Hopital's rule is "overkill"!

Jeann25, multiply both numerator and denominator by sqrt(1+x)+ 1 to rationalize the numerator.

 

[Jeann25]

Thank you for the help!

 

[Tide]

Tide, L'Hopital's rule is "overkill"!
Jeann25, multiply both numerator and denominator by sqrt(1+x)+ 1 to rationalize the numerator.

Halls,

Of course! But I was trying to ascertain whether the assignment related to a lesson on l'Hospital. :)