1617-257/Homework Assignment 10 Solutions: Difference between revisions
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==Doing== |
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'''Solve''' ''all'' the problems in section 15, but submit only your solutions of problems 1, 3, and 6. In addition, solve and submit your solution of the following problem: |
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<u>'''Problem A.'''</u> Consider the function <math>f\colon[0,\infty)\to{\mathbb R}</math> defined by <math>f(x)=\sin(x^2)</math>. Show that |
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# The limit <math>\lim_{x\to\infty}f(x)</math> does not exist. |
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# The limit <math>\lim_{N\to\infty}\int_0^Nf(x)dx</math> does exist (yet do not attempt to compute it). |
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# The extended integral <math>\int_{(0,\infty)}f</math> does not exist. |
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==Student Solutions== |
==Student Solutions== |
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Revision as of 18:58, 26 February 2017
Doing
Solve all the problems in section 15, but submit only your solutions of problems 1, 3, and 6. In addition, solve and submit your solution of the following problem:
Problem A. Consider the function defined by . Show that
- The limit does not exist.
- The limit does exist (yet do not attempt to compute it).
- The extended integral does not exist.
