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- Homework Statement
- problem with serie convergence (look at the image)

- Relevant Equations
- taylor serie expnasion, absolute convergence, racine test

Good day

and here is the solution, I have questions about

I don't understand why when in the taylor expansion of exponential when x goes to infinity x^7 is little o of x ? I could undesrtand if -1<x<1 but not if x tends to infinity?

many thanks in advance!

and here is the solution, I have questions about

I don't understand why when in the taylor expansion of exponential when x goes to infinity x^7 is little o of x ? I could undesrtand if -1<x<1 but not if x tends to infinity?

many thanks in advance!

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