6. (a) Show that for x > 0,1< In(1+x) <(b) Deduce the limit ofI (1 + 4)nkUn =n2k=1

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Answered: (a) Show that for x > 0, 1 5a' < In(1+…

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(a) Show that for x > 0, 1 5a' < In(1+ x) < |

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.

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6. (a) Show that for x > 0,
1
< In(1+x) <
(b) Deduce the limit of
I (1 + 4)
n
k
Un =
n2
k=1

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