MathAnalysisCalculusLimits

One-sided limits and the non-existence of a limit

Which one

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Which of these functions are infinitely small when $x$ tends to $\infty$ ?

1) $f(x)=(-2x)^{-1}$

2) $f(x)=2^{\sqrt[x]{2}}$

3) $f(x)=sin(x^2)$

4) $f(x)=2^{-x}$

Infinitely small sequence is the sequence that tends to $0$ .

Select one option from the list

1) and 3)

2) and 4)

1) and 4)

1), 2) ,3)

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