How can I find the value of delta when solving for a limit equation?

[step1536]

Find the value of delta that corresponds to 0.75.
Give your value of delta where delta or any positive number will satisfy the conditions . give the answer correct to 3 decimal places, round down if necessary.

lim (4+x-3x^3)=2
x-->1

 

[berkeman]

Find the value of delta that corresponds to 0.75.
Give your value of delta where delta or any positive number will satisfy the conditions . give the answer correct to 3 decimal places, round down if necessary.

lim (4+x-3x^3)=2
x-->1

We don't do your homework for you. Please show us your attempt at the solution, so we can provide tutorial help to you.

 

[step1536]

Correction: I did not ask YOU to do my homework for me.
The reason why I chose this website was for assistance with questions that I am having difficulty setting up the problem so that I may solve it.

 

[berkeman]

Correction: I did not ask YOU to do my homework for me.
The reason why I chose this website was for assistance with questions that I am having difficulty setting up the problem so that I may solve it.

Well by copying the question and not doing anything else, you did not make it clear what you intended.

So, could you please make the question a bit more clear? At least for me, it's not clear what you mean by "delta". Are you supposed to find a value for x that satisfies the limit equation that you wrote? If so, how would you go about doing that? How does your textbook approach problems like this one?