Review for the Final Exam
Feel free to comment below if you need some guidance with any problem. As it is customary, I will provide with hints, but no solutions.
- Evaluate the integral
- Evaluate the integral
- Evaluate the integral
- Evaluate the integral
- Evaluate the following integral, or indicate if it is divergent:
- Find the volume of the solid obtained by rotating the region bounded by and around the line
- Find the volume of the solid obtained by rotating the region bounded by and around the line
- Find the general term of the sequence and compute its limit.
- Compute the limit of the sequence
- Compute the limit of the sequence
- Compute
- Study the convergence of the series If convergent, evaluate the sum.
- Classify the series as absolutely convergent, conditionally convergent, or divergent.
- Classify the series as absolutely convergent, conditionally convergent, or divergent.
- Find the interval of convergence of the power series
- Express the function as a power series.
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