Question

Ive got you all a challenge solve it​

Answer 1

γ =
`\lim_(n \to \infty)\sum_(k=1)^n ((1)/(k)-ln(n) )`

or

γ = -∞

Explanation:

Let's solve what's inside the limit first.

We see that we need to take the sum of the entire thing. Since it is multivariable and we are given 1 variable, it stays the same.

Now we move on to the limit.

We replace n in the summative with infinity.

The natural log of infinity is infinity.

1 minus infinity would be negative infinity.

The sum of negative infinity of k = 1 is negative infinity.

So the limit as n approaches infinity would be negative infinity.

If we were to simplify this mathematically, it would just be the same equation.