How do I find the limit if x does not approach any number?

[K_Swiss]

How do I find the limit if x does not approach any number?

Textbook Answer: -7/3

 

[stapel]

How do I find the limit if x does not approach any number?

Limits are defined in terms of values of an expression as some other value approaches something, or is within some range of something. To my knowledge, there is no meaning to "the limit of f(x) as x goes nowhere". Sorry. :shock:

Please consult with your instructor regarding clarification. Thank you!

Eliz.

 

[galactus]

We have \(\displaystyle \frac{3x^{2}+x-4}{3x+4}=\frac{(x-1)(3x+4)}{3x+4}=x-1\)

There appears to be a hole at x=-4/3

 

[Deleted member 4993]

We have \(\displaystyle \frac{3x^{2}+x-4}{3x+4}=\frac{(x-1)(3x+4)}{3x+4}=x-1\)

There appears to be a hole at x=-4/3

And I think that is what x was supposed to approach to