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Which of the following statements is true? Note: Recall the Maclaurin series for the arctangent function: 2n+1 tan 1(x) = (-1) 2n+ 1 with R

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Which of the following statements is true? Note: Recall the Maclaurin series for the arctangent function: 2n+1 tan 1(x) = (-1)" 2n+ 1 with R = 1 n=0 tan 1 (1.15) = (1.15) 27+1 1=0 2n + 1 8 If the power series Cn I" has radius of convergence R = 3. then the series 8 c 3" converges. sin (1.4) = T's (1.4), where To (x) is the ninth degree Taylor polynomial for f(x) = sin(x) centered at a = 1 "(x - a)" has a radius of convergence R. then so does nen ( 2 - a )" 1=1 For all & a

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