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Calculus and Beyond Homework Help
How to Simplify a Complicated Limit
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[QUOTE="Dick, post: 4351305, member: 65100"] Try and simplify it first. Drop terms that aren't important. In the numerator 1/ln(t) approaches 0, t approaches infinity. So you can drop the 1/ln(t) without affecting the limit. In the denominator, if a>0, then t/ln(t) in the exponent goes to infinity, but it is dominated by at going to infinity faster (to see this check that the ratio (t/ln(t))/(at) goes to zero), so drop that. That should give you something easier to do l'Hopital from. As you do l'Hopital, keep checking for terms that grow more slowly than others and keep simplifying. [/QUOTE]
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How to Simplify a Complicated Limit
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