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how am i supposed to prove that the function is bigger then its tailor series??

the taylor series are written in endless way.

its should be equal

how to prove that its bigger??

for the first i tried prove by induction:

the base case

[tex]

f_1(x) = e^x - \left( 1 + x\right)\\

[/tex]

i know that x>0

but it doesnt prove that

[tex]

f_1(x)>0

[/tex]

??

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# Prove these innequalities

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