What is the limits?

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Indeterminate Forms

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Answer 1 · 2017-10-23T19:01:46

# e^-8, or, 1/e^8.#

Recall that, #lim_(x to oo) (1+1/x)^x=e.#

#:. lim_(x to oo)[{1+(-4/x)}^(-x/4)}]^(-8),#

#=[lim_(x to oo){1+(-4/x)}^(-x/4)}]^(-8),#

#=e^-8, or, 1/e^8.#