Saturday
October 25, 2014

Homework Help: CALCULUS

Posted by Important on Thursday, September 30, 2010 at 11:15pm.

i needed help on some problems and clarification on one.

1. Determine the location and type (removable, jump, infinite, or other) of all discontinuities of the function
(x^2-3x+2)/(x^2-1)

this section has been confusing for me for some reason, can any one briefly explain the rules and differences of discontinuities here, like how can one tell that the problem above is going to be a jump or removable or infinite discontinuity with out graphing. Also, what are there differences on a graph.

2. Lim as x->9 (2-sqrt(x-5))/(x-9)
please show me how to do this with out using any future methods such as l'hospitals rule. Right now it's in the 0/0 form and i am having trouble simplifying it. I tried the conjugates but still ending up with 0/0

3. Use the intermediate value theorem in order to show that the equation x^5-x+1=0 has at least one real solution

for this one i got "There is a zero some where between [-1,-2] because the sign changes some where in-between".

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