Saturday
April 19, 2014

Homework Help: Calculus

Posted by Anonymous on Sunday, February 17, 2008 at 7:28pm.

Below are the 5 problems which I had trouble in. I can't seem to get the answer in the back of the book. Thanks for the help!

lim (theta-pi/2)sec(theta)
theta->pi/2
Answer: -1
I am not sure what to do here.

lim (tan(theta))^(theta)
theta->0+
Answer:1
ln(tan(theta))/(1/theta)
L'Hospital's Rule:
lim [(1/(tan(theta))(sec^2(theta))]/(-theta->0+ /x^2]

lim (theta)^2(sin(1/(theta))
theta->oo
Answer:oo
lim (1/h)^2(sin(h))
h->0+
L'Hospital's Rule:
cos(h)/(-2/h)

lim (csc^-1 x)/1/x
x->oo
Answer: 1
I am not sure how 1 can be the answer.

integral 0 to 3 dx/sqrt(9-x^2)
Answer: pi/2
I know this is some form of arcsin(x)->f'(x)=1/sqrt(1-x^2), but I don't know what to do with the 9.

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