Let f:(0,infty)tomathbb R be defined by f(x)=x(e^1/x^3-1+frac1x^3). Which of the following statements is (are) TRUE?

Q33Section B (Section B)33 of 60

Limits of powers times a function with a cancelling expansion

Let $f:(0,\infty)\to\mathbb R$ be defined by

$f(x)=x\left(e^{1/x^3}-1+\frac1{x^3}\right).$

Which of the following statements is (are) TRUE?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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