(23 points) prove that the limit is correct:
lim x approaches -2 of 1/(x+1) = -1

The statement that

is equivalent to saying that, for any , there exists such that if

then it's guaranteed that

We want to pick to make this guarantee.

We have

If we assume , then

The lower bound on is what's important here, because its gives us an upper bound on the reciprocal:

Then in the expected -inequality, we have

Comparing this to our chosen -inequality, this suggests we should pick to be the smaller of and , or .

# # #

Now for the proof itself. Let be given, and assume .

and

This completes the proof.

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

answer: b.36 feet

step-by-step explanation: