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 x < a. We say the 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

Prove the following limits for

a.

b.

c. 

Transcribed Image Text:

lim f(x) = L, х- хэа