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Limits

A) lim 3x
x→0 ‾‾‾‾‾‾‾ = 3
x^2+x

b) lim x does not exist because one cannot divide by 0
x→0 ‾‾‾‾‾‾
x^2+x

c) If f (5) is not defined, then the limit: lim f (x) does not exist.
x→5

(^ means exponent and the x→0 and x→5 are subscripts)

Solution Preview

a) lim 3x
x→0 ‾‾‾‾‾‾‾ = 3
x^2+x

True, as

lim 3x
x→0 ‾‾‾‾‾‾‾
x^2+x

lim 3
= x→0 ‾‾‾‾‾‾‾
x+1

lim 3
= x→0 ‾‾‾‾‾‾‾ ...

Solution Summary

Limits are found.

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