I am really struggling with limits at the moment. Any help would be great! Thanks to anyone in advance if they take the time to read the rest of this.(adsbygoogle = window.adsbygoogle || []).push({});

Basically i am struggling with finding the limit when using direct substitution provides 0/0

I (think) am fine with limits that involve quadratic equations, you factorise which should allow some canceling out, and direct substitution should provide an answer.

Just to check

Lim t->(-1) [(1/(t+1)) - (1/(t^2+3t+2)]

factorizing the t^2+3t+2 i can cancel out to 1/(t+2) which with direct substitution the limit = 1/1 =1

but my problem is when i encounter limits such as

lim h->0 (sqrt(2+2h)-sqrt(2)) / h

I did try multiplying it by the conjugate (sqrt(2+2h)-sqrt(2)) / (sqrt(2+2h)+sqrt(2)) but this gave me 2/sqrt(2) and putting the original into worlfram alpha the answer is apparently 1/sqrt(2)

I'm just not sure on the procedure when dealing with this king of limit. any help would be greatly appreciated!

Thanks

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# Finding the limit 0/0

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