Evaluate the following limits

  • Thread starter NATURE.M
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  • #1
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0

Homework Statement



a. lim
x→0

(x^3 − 2x + 7)/(3x^2 − 3)


b. lim
x→-1

1/(x+1)


Homework Equations





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)
 

Answers and Replies

  • #2
STEMucator
Homework Helper
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They both look good. Could you elaborate on part (b) a little more though?
 
  • #3
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
 
  • #4
Dick
Science Advisor
Homework Helper
26,260
619
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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