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I have found the following TP (n=4) for g(x) = (1+5x)^1/5

P4(x) = 1+x-2x^2+6x^3-21x^4

Then they ask me to show that 0<E4(x)<80x^5 when x>0.

I don't know how to start, or exactly what Im supposed to show...?

I have found E4(x) to be( 399/[5(1+5X)^24/5] ) *x^5...

And 0<X<x ...?

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# Homework Help: Taylor Polynomial

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