Yo sup??
For our convenience let h=x+1
therefore
when x tends to -1, h tends to 0
hence we can rewrite it as
This inequality is of the form 1∞
We will now apply the formula
plugging in the values of g(x) and f(x)
express coth² as cosh²/sinh² and also write cosh-1 as 2sin²(h/2)
(by applying the property that cos2x=1-sin²x)
After this multiply the numerator and denominator with h² so that we can apply the property that
Now your equation will look like this.
We will now apply the result
where x=h²
we get
we now multiply the numerator and denominator with 4 so that we can say
Apply the limits and you will get
Hope this helps.