$\Gamma(0)?$

Calculus Level 2

$\large \lim_{x\to 0} x\Gamma(x)=?$

The answer is 1.0.

1 solution

Aaghaz Mahajan
Feb 5, 2019

By the functional equation of Gamma Function this is nothing but $\displaystyle \lim_{x \to 0} \Gamma (x+1) = 1$

@Pi Han Goh Thank you Sir, for introducing me to Latex and helping me out............this is my first solution using LatEX, even tho it is a very short one. Gradually I'll keep on learning and improve my skills......!!

Aaghaz Mahajan - 2 years, 4 months ago

Great work on your $\LaTeX$ !

Here's some little improvement that you can make:

Properly subscripted: $\displaystyle \lim_{x \to 0} \Gamma (x+1) = 1$

Centered: $\lim_{x \to 0} \Gamma (x+1) = 1$

Pi Han Goh - 2 years, 4 months ago

@Pi Han Goh Sir, could you please send the code for "Centered" ??

Aaghaz Mahajan - 2 years, 2 months ago

@Aaghaz Mahajan – Instead of typing like this:

\ ( .... \ )

Type like this:

\ [ ... \ ]

Pi Han Goh - 2 years, 2 months ago

@Pi Han Goh – Okay, thanks!!!

Aaghaz Mahajan - 2 years, 2 months ago

Γ ( 0 ) ? \Gamma(0)? Γ ( 0 ) ?

The answer is 1.0.

1 solution

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$\Gamma(0)?$