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Mathematics
Edgar Campbell
8 November, 17:23
Evaluate the limit. lim x-> infinity n/3^x
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Dylan Fernandez
8 November, 18:12
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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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