parkersavannah14 parkersavannah14
  • 03-05-2020
  • Mathematics
contestada

evaluate the limit. lim x-> infinity n/3^x

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zrh2sfo zrh2sfo
  • 03-05-2020

Answer:

0

Step-by-step explanation:

Find the following limit:

lim_(x->∞) 3^(-x) n

Applying the quotient rule, write lim_(x->∞) n 3^(-x) as (lim_(x->∞) n)/(lim_(x->∞) 3^x):

n/(lim_(x->∞) 3^x)

Using the fact that 3^x is a continuous function of x, write lim_(x->∞) 3^x as 3^(lim_(x->∞) x):

n/3^(lim_(x->∞) x)

lim_(x->∞) x = ∞:

n/3^∞

n/3^∞ = 0:

Answer:  0

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