se Definition of Limit
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Question 10, 2.7.28
Part 1 of 5
HW Score: 83.89%, 10.07 of 12 points
Points: 0 of 1
Use the precise definition of a limit to prove $\lim_{x \to -5} (x+5)^4 = 0$. Specify a relationship between $\epsilon$ and $\delta$ that guarantees the limit exists.
(Hint: Use the identity $\sqrt[4]{x^4} = |x|$.)
State the steps for proving that $\lim_{x \to a} f(x) = L$.
Let $\epsilon$ be an arbitrary positive number. Use the inequality
to find a condition of the form
where
depends only on the value of
Then, for any $\epsilon > 0$, assume
and use the relationship between
to prove that
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