bcjochim07
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evaluating a limit--removable discontinuity?
I am evaluating the limit of a vector valued function, and one of the pieces I must evaluate is the limit as t approaches 1 of ln(t)/(t^2 -1). I graphed this function on my calculator, and it seems to me that there is a removable discontinuity. However, the expression cannot be factored so terms will cancel out. If I move the cursor around on my calculator, it also appears that the limit is 0.5, but I'm not sure how to obtain that. It's been awhile since I took Calc. I, so could somebody please help me out? Thanks.
Homework Statement
I am evaluating the limit of a vector valued function, and one of the pieces I must evaluate is the limit as t approaches 1 of ln(t)/(t^2 -1). I graphed this function on my calculator, and it seems to me that there is a removable discontinuity. However, the expression cannot be factored so terms will cancel out. If I move the cursor around on my calculator, it also appears that the limit is 0.5, but I'm not sure how to obtain that. It's been awhile since I took Calc. I, so could somebody please help me out? Thanks.
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