a. Suppose that (x) is differentiable for all x in [0, 1] and that (0) = 0.
Question:
a. Suppose that ƒ(x) is differentiable for all x in [0, 1] and that ƒ(0) = 0. Define sequence {an} by the rule an = nƒ(1/n). Show that limn→∞an = ƒ′(0). Use the result in part (a) to find the limits of the following sequences {an}.
b.
c.
d.
Transcribed Image Text:
= an n tan n
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answer To find the limit of sequence an we can use the result we proved in part a limnan 0 ...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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