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Evaluate the following limits

  • Thread starter NATURE.M
  • Start date
301
0
1. The problem statement, all variables and given/known data

a. lim
x→0

(x^3 − 2x + 7)/(3x^2 − 3)


b. lim
x→-1

1/(x+1)


2. Relevant equations



3. The attempt at a solution

For a. I obtained a limit of 7/-3
For b. the limit does not exist

(I really unsure about this)
 

Zondrina

Homework Helper
2,063
136
They both look good. Could you elaborate on part (b) a little more though?
 
301
0
They both look good. Could you elaborate on part (b) a little more though?
Thanks.

For b:

lim 1/(x+1) = ∞ (+)
x→-1 (+)

lim 1/(x+1)= ∞ (-)
x→-1 (-)

Therefore, lim 1/(x+1)=undefined
x→-1
 

Dick

Science Advisor
Homework Helper
26,252
615
Thanks.

For b:

lim 1/(x+1) = ∞ (+)
x→-1 (+)

lim 1/(x+1)= ∞ (-)
x→-1 (-)

Therefore, lim 1/(x+1)=undefined
x→-1
That's just fine.
 

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