Question

evaluate the limit as x -> +,-infinity:
q(x)=-2x^3+3x^2-12

Answer 1

Just looking at the leading term -2x^3, when x --> inf, -2x^3 --> -inf, we can see this if we plug in some large positive number for x

The other terms factor in, but as x gets larger and larger, their influence diminishes.


So as x --> inf, q(x) --> -inf


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Using the same logic, as x --> -inf, q(x) --> inf

Answer 2

so the answer is -inf?

Answer 3

which limit are you referring to? as x --> inf or x --> -inf ?

Answer 4

both... right?

Answer 5

the answers vary, you cannot evaluate the limit as x goes to BOTH +inf and -inf

Answer 6

this is a two part problem

Answer 7

ok so im going to get two seperate answer for this problem?

Answer 8

yes

Answer 9

ok thank you