- #1
goofyfootsp
- 12
- 0
Homework Statement
Is this the right direction to prove
Given that , prove that . Using the delta epsilon definition to prove that means that, for any arbitrary small there exists a where as:
If we choose any constant for (x) called C, as long as C does not equal zero, the equation follows:
whenever , since f(x) as x goes to a is equal to L.
Multiply the by the absolute vale of the constant C, , so you have
Now the product of absolute values is equal to the absolute value of the products so,