$\mathrm{Let} \mathrm{f}:\mathrm{R}\to \mathrm{R}$ be a real function. The function f is double differentiable. If there exists $\mathrm{n}\in \mathrm{N}$ and $\mathrm{p}\in \mathrm{R}$ such that $\underset{\mathrm{x}\to \infty }{\lim }{\mathrm{x}}^{\mathrm{n}} \mathrm{f}\left(\mathrm{x}\right) = \mathrm{p}$ and there exists $\underset{\mathrm{x}\to \infty }{\lim }{\mathrm{x}}^{\mathrm{n}+1} \mathrm{f}\left(\mathrm{x}\right)$, then

$\underset{\mathrm{x}\to \infty }{\lim }{\mathrm{x}}^{\mathrm{n}+1} \mathrm{f}\text{'}$ is equal to

• A

  $-\mathrm{np}$

• B

  $\mathrm{np}$

• C

  ${\mathrm{n}}^2\mathrm{p}$

• D

  ${\mathrm{np}}^2$

$\underset{\mathrm{x}\to \infty }{\lim }{\mathrm{x}}^{\mathrm{n}+1} \mathrm{f}\text{'}\text{'} \left(x\right)$ is equal to

• A

  $\mathrm{np}(1-\mathrm{n})$

• B

  $-\mathrm{np}(1+\mathrm{n})$

• C

  ${\mathrm{n}}^2\mathrm{p}$

• D

  $\mathrm{np}(1+\mathrm{n})$

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