Calculus Limit Problems - Examples and Solutions

Thank you.

If I have any further questions I will be sure to contact you!

The answer will result in 0.
If given your question, follow the same method as for limits which result in 0/0. You factor the t^3 from the numerator and t^2 from the denominator. This would result in t^3(2t^3-3t-7)/t^2(t^3-5t+15). Then cancel t^2 in the numerator and denominator to be left with t, in the numerator.
When you substitute 0 for the t in the numerator, it will result in 0. 0(2(0)^3-3(0)-7) = 0(-7) = 0
0 over any result in the denominator, is equal to 0.

Hope this helps.

I am very appreciative of the sample questions and answers since I am in the process of studying for my end of semester exams next week.

I will like to ask a question on limits. If I am given a question as lim (2t^6-3t^4-7t^3)/t^5-5t^3+15t^2
t-0
Will the answer automatically be 0?

Alicia