Originally Posted by
Noxide I'm given an epsilon value of 0.5
The limit of my function evaluated as x-->0 is 1
my function is
f(x) = (e^x - 1) / (x)
Just a restatement of the variable
e = 0.5
L = 1
f(x) = (e^x - 1) / (x)
x = ?
d(delta) = ?
a = 0
I've plugged the values into the inequalities and i'm stuck on this part:
|f(x)-L| < e
i.e.
| [(e^x - 1) / (x)] - 1| < 0.5
So, I simplify and then I get to this point:
e^x - 1 - 1.5x < 0
I can't figure out x and because I can't figure out x I'm unable to figure out delta. I need some help solving for x. I'm aware that I will likely need to apply a natural logarithm but whenever I do I still am unable to solve for x.