T5.pdf - Math 118 Spring 2017 Tutorial Solutions 5 1 Use...

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Math 118 Spring 2017: Tutorial Solutions 51. Use the precise definition of the limit of a sequence to prove that limn→∞n+ 7= 8.8n+ 1
2. Evaluate the limit of the sequence{an}n=1, if it exists:(a)an=n+29n2+1(b)an=(c)an= (2n+ 3n)1/nHint for (c): This is hard to do with limit laws. Try Squeeze Theorem. Can you prove that3an21/n·3?
Solution:

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