- #1
Cal124
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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.
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
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