Consider f: (0, 2)→ R defined by f(x)=x". Assume that f has a limit at 0 and find that limit. (Hint: Choose a sequence (x)-1 converging to 0 such that the limit of the sequence (f(x)} is easy to determine.)

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
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10. Consider f: (0, 2)→ R defined by f(x) = x". Assume that f has a limit at 0 and find that
limit. (Hint: Choose a sequence (x)=1 converging to 0 such that the limit of the sequence
{f(x)} is easy to determine.)
1
Transcribed Image Text:10. Consider f: (0, 2)→ R defined by f(x) = x". Assume that f has a limit at 0 and find that limit. (Hint: Choose a sequence (x)=1 converging to 0 such that the limit of the sequence {f(x)} is easy to determine.) 1
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