Question 1
Use the formal definition of the limit to verify the addition property of limits:
If
f(x) = L and
g(x) = K, then
[f(x) + g(x)] = L + K.
Question 2
Complete the following definition: We say
f(x) = L if for every ε > 0 there exists δ > 0 depending on ε such that
◦ if a < x < a + δ, then |f(x) - L| < ε
◦ if |x - a| < δ, then |f(x) - L| < ε
◦ if |x - a| < δ, then f(x) - L < ε
◦ if a - δ < x < a, then |f(x) - L| < ε
◦ none of the above