2. 1+x Determine the interval of convergence for the Taylor series of f (x)= In and 1-x show that f(x) may be represented by the series: x+ +... 5 The remainder after n terms is Rn+1 = 2 +... 2n+3 Show that 2n+1 2 1 2n+1 2n +1 1-x
2. 1+x Determine the interval of convergence for the Taylor series of f (x)= In and 1-x show that f(x) may be represented by the series: x+ +... 5 The remainder after n terms is Rn+1 = 2 +... 2n+3 Show that 2n+1 2 1 2n+1 2n +1 1-x
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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5
Transcribed Image Text:2.
1+x
Determine the interval of convergence for the Taylor series of f (x)= In
and
1-x
show that f(x) may be represented by the series:
x+
+...
The remainder after n terms is Rn-1
= 2
+...
2n+3
Show that
2n+1
1
2n+1
2n +1
1-x
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