Infinite Limits?

Question

Infinite limits!!! evaluate the limits?
Ex. find the lim [1/x-2 + 1/x+2]
x-->2+
= 1/(2)-2 + 1/(2)+2
= (1/0+) + (1/4)
= +infnity + 1/4
= ans: +infinity

1. lim 5/2x^4
x->0+
2. lim x+2/3x^2
x->0-
3. lim x+5/x-2
x->2+
4. lim x^2+4/x^3-1
x->1-
5. lim x+4/x-4
x->4+
6. lim (8/x^3) + 8
x->0+
7. lim (3/x^3) (x-2/x-1)
x->1-
8. lim (x+1/x-2 - x/x-2)^2
x->2+
9. lim (4/x^4 + 7/x^7)
x->0+
10. lim (3/x^3 - 6/x^6)
x->0-


thanks in advance

i've already answer all of this but i just wanted to make sure all my answers are correct.so please help me with numbers 6 to 10 i'm not quite sure with my answer.

Answer 1

1. inf
2. inf
3. inf
4. neg inf
5. inf
6. inf ............. infinity plus constant is infinity still
7. inf ............. just account all signs. constant times infinity depends on the sign of the constant (constant should not be zero.)
8. inf............. combine x+1 & x first. Notice the whole thing is a square
9. inf ............ everything is positive
10. neg inf .... negative infinity minus positive infinity is negative infinity.


d:

Answer 2

sure you have.