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. lim xa x→a Which of the following choices for & is necessary and sufficient to complete a proof using the e- definition of limit? € 2 08 = 2€ 08=E 08= 8 = any real number

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
ε > 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.
Which of the following choices for & is necessary and sufficient to complete a proof using the ɛ-♂
definition of limit?
8
=
E
2
2€
= E
lim x = a
x → a
8 = any real number
Transcribed Image Text:When using the - definition of limit to prove lim f(x) = L, you must show that for every x →→ a ε > 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. Which of the following choices for & is necessary and sufficient to complete a proof using the ɛ-♂ definition of limit? 8 = E 2 2€ = E lim x = a x → a 8 = any real number
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