WOLFRAM|DEMONSTRATIONS PROJECT

Infinite Limit at Infinity

M

lim

x∞

f(x) = ∞

●

M = 20

N =

5.15443

automatically calculate N

The function

f(x)=

3

(x-3)

+10

approaches ∞ as

x∞

. Hence for

M

large, there exists

N

such that

f(x)>M

whenever

x>N

. Adjust

M

using the slider. The value of

N

may be found automatically or manually.