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.