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songoku's latest activity
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songoku
replied to the thread
Limit of piecewise function using epsilon delta
.
How to continue the working to complete the proof? For left side limit, let ##\delta=|\sqrt[3] {8+\epsilon}-2|##. Taking ##\delta>0##...
Jun 30, 2025
S
songoku
replied to the thread
Limit of piecewise function using epsilon delta
.
Sorry I don't understand. Isn't ##f## defined in the question? For ##x\to 2^{-}, f(x) = x^3 +2## and for ##x\to 2^{+}, f(x)=x^2 + 6##...
Jun 30, 2025
S
songoku
posted the thread
Limit of piecewise function using epsilon delta
in
Calculus and Beyond Homework Help
.
1) proofing ##\lim_{x \to 2^{-} f(x)=10}## $$|x^3 +2-10|<\epsilon$$ $$-\epsilon<x^3-8<\epsilon$$ $$8-\epsilon<x^3<8+\epsilon$$...
Jun 30, 2025
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