Question

For positive values of \[x\], which expression grows faster than \[x^n\] for any fixed positive integer \[n\] when \[x\] is sufficiently large?

Options

• \[10^x\]

• \[\frac{1}{x}\]

• \[\log x\]

• \[x^n\]

Answer 1

For positive values of \[x\], \[10^x\] grows faster than \[x^n\]. This holds for any fixed positive integer \[n\] when \[x\] is sufficiently large.