how can i show that those two limits are the same? | Mathematics | Page 1

naive copperBOT Jan 14, 2024, 2:05 PM

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regal crypt Jan 14, 2024, 2:06 PM

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i want to show per hand that those two limits are the same. how can i do that?

quiet sable Jan 14, 2024, 9:42 PM

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Calculate them

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For any given x you can find N such for all n > N: |x| < 2n. So on the left side you get | (x/n)^n| = ( |x|/n)^n < 1/2^n = 0. So the limit is 1+0 = 1

#how can i show that those two limits are the same?