3. Functions like y = xa cos are important (counter) examples in I calculus, so let's get familiar with them. (a) Prove that limx→ cos / = DNE. You can find two ways to approach 0, which cos tends to different limits. x (b) Compute limx→0 x cos using the squeeze theorem. x

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Chapter2: Second-order Linear Odes
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3.
Functions like y = xa cos
are important (counter) examples in
calculus, so let's get familiar with them.
(a) Prove that limx→o cos 1/1/20
DNE. You can find two ways to
approach 0, which cos tends to different limits.
=
(b) Compute limx→0 x cos using the squeeze theorem.
X
Transcribed Image Text:3. Functions like y = xa cos are important (counter) examples in calculus, so let's get familiar with them. (a) Prove that limx→o cos 1/1/20 DNE. You can find two ways to approach 0, which cos tends to different limits. = (b) Compute limx→0 x cos using the squeeze theorem. X
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