Calc question..

Question

Find: lim (5/2)^n

n→ ∞

Answer 1. = 1

Answer 2. does not exist.

Answer 3.=0

Answer4.=5/2

Answer 1

Hi Clarissa,

lim ( 5/2)^n n--> ∞

Be care full, for finding limit of exponential function the base and ± ∞ are very important.

In this case base is 5/2 that it is greater than 1 and n goes to ∞ as result the answer is ∞

it means does not exit.

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if n goes to the -∞ what happens????

lim (5/2)^n = (5/2)^-∞ = (2/5) ^-(-∞) = (2/5) ^∞ that answer is ZERO because the base is less than 1. overall,any number less than 1 to the power ∞ is ZERO

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you need to know 4 forms when number to the power ±∞

Let me know, if you need to know more .

I hope it is useful