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Limits and Piecewise Functions

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Please help with the following problems regarding limits and piecewise functions.

1) Let f(x) {o if x is a natural odd number
{1 otherwise

Does f(x) have a limit as x approaches infinity? Explain you answer.

2) Let f(x) {1 if x is a natural odd number
{ 1-1/x otherwise

Does f(x) have a limit as x approaches infinity? Explain you answer.

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Limits and piecewise functions are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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1) Let f(x) = {0 if x is a natural odd number
{1 otherwise
Does f(x) have a limit as x approaches infinity? Explain you answer.
No, because as x approaches infinity, ...

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