Limits

[TheWeekndLuv]

Match List:
a. 0
b. 2
c. 1
d. positive infinity
e. 3
f. does not exist
g. 4
h. none of the above

1. the limit as x approaches 1 of (x^2-1)/(x-1) you factor the top out and can cancel the (x-1) so the answer should be b)
2. f(x)=2x^2+3x+5 find the limit as h approaches 0 of (f(h)-f(0))/h i plugged in the formula and got an answer of 3 so the answer should be e)
3. limit as x approaches 0 of 1/|x| the limit does not exist so should be f)
4. same as number one but this time the limit approaches -1 so the answer should be 0 a)
5. the limit as x approaches 2 of (x^3-8)/12(x-2) i factored out top so the (x-2) should be canceled and can plug in the 2 and i got an answer of 1 so c)

Ive tried numerous entries but my answers are wrong and I dont understand what I'm doing wrong?? Help please!

 

[Deleted member 4993]

Match List:
a. 0
b. 2
c. 1
d. positive infinity
e. 3
f. does not exist
g. 4
h. none of the above

1. the limit as x approaches 1 of (x^2-1)/(x-1) you factor the top out and can cancel the (x-1) so the answer should be b)
2. f(x)=2x^2+3x+5 find the limit as h approaches 0 of (f(h)-f(0))/h i plugged in the formula and got an answer of 3 so the answer should be e)
3. limit as x approaches 0 of 1/|x| the limit does not exist so should be f)
4. same as number one but this time the limit approaches -1 so the answer should be 0 a)
5. the limit as x approaches 2 of (x^3-8)/12(x-2) i factored out top so the (x-2) should be canceled and can plug in the 2 and i got an answer of 1 so c)

Ive tried numerous entries but my answers are wrong and I dont understand what I'm doing wrong?? Help please!

As far as I can tell - your answers are correct.

 

[HallsofIvy]

I agree that the limit in (3) "f: does not exist" but perhaps a better choice is "d: positive infinity" which is just saying the limit does not exist for a specific reason.