When using the - definition of limit to prove lim f(x) = L, you must show that for every x→a € > 0, there exists a > 0 such that if 0 < x − a| < 8, then |ƒ(x) — L| < ɛ. Recall the following basic limit law, where a is a real number and c is a constant. lim c = c x→a What is the value of f(x) — L in this situation? f(x) - L =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.1: Limits
Problem 61E
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When using the - definition of limit to prove lim f(x) = L, you must show that for every
x → a
ɛ > 0, there exists a § > 0 such that if 0 < |x − a| < 8, then |ƒ(x) − L| < ɛ.
Recall the following basic limit law, where a is a real number and c is a constant.
lim c = c
x→a
What is the value of f(x) — L in this situation?
f(x) − L =
Transcribed Image Text:When using the - definition of limit to prove lim f(x) = L, you must show that for every x → a ɛ > 0, there exists a § > 0 such that if 0 < |x − a| < 8, then |ƒ(x) − L| < ɛ. Recall the following basic limit law, where a is a real number and c is a constant. lim c = c x→a What is the value of f(x) — L in this situation? f(x) − L =
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