Is it what I think?

Calculus Level 3

Find the value of $\lim \limits_{x \to 4^+} x!$

Note: Let $x!$ be the factorial function defined for all positive reals.

The answer is 24.

1 solution

展豪張
Apr 20, 2016

The factorial for real numbers, or gamma function, is continuous except for the nonpositive integers.
So just evaluate $4!=24$ and this is the answer.

The Gamma function is not the same as the factorial function.

The gamma function, $\Gamma (n) = (n-1)!$

Mehul Arora - 5 years, 1 month ago

Gamma function is an extension of factorial.

展豪張 - 5 years, 1 month ago

Indeed it is, but it's not the same as. I think you could improve the phrasing of the solution.

Mehul Arora - 5 years, 1 month ago

@Mehul Arora – Oh sorry English is not my mother language so sometimes I cannot write what I thought directly. I will try to improve it.

展豪張 - 5 years, 1 month ago

@展豪張 – Perrrfect. :)

Mehul Arora - 5 years, 1 month ago

Is it what I think?

The answer is 24.

1 solution

0 pending reports