Finding the Value of b to Make f Continuous at x=0

[naspek]

f(x) = { [(e^x) - 1] / x ; if x not equal 0
... .{ b ......; if x = 0

What value of b makes f continuous at x = 0?

so.. the left side and right side must be equal in order to make
f continuous at x = 0

[(e^x) - 1] / x = b
[(e^x) - 1] = (b)(x)
e^x = (b)(x) + 1
.
.
.
dont know how to proceed..

should i introduce ln?

 

[rochfor1]

What is the definition of continuity?