Precise definitions for left- and right-sided limits Use the following definitions.Assume...

Precise definitions for left- and right-sided limits Use the following definitions.

Assume f exists for all x near a with x > a. We say the limit of f(x) as x approaches a from the right of a is L and write , if for any ε > 0 there exists δ > 0 such that

Assume f exists for all x near a with xthe limit of f (x) as x approaches a from the left of a is L and write , if for any ε > 0 there exists δ > 0 such that

One-sided limit proofs Prove the following limits for

.

a.

b.

c.