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nycmathguy

Member

Registered: 2021-06-02

Posts: 53

Complete Table Using Limits

Complete the table for f(x) = x + 3 as x→2 from the right and left.

x tends to 2 from the left

Values for x: 1.9, 1.99, 1.999

x tends to 2 from the right

Values for x: 2.001, 2.01, 2.1

Solution:

I think this question is just an evaluation exercise.
I plug all the given x values to evaluate f(x) as x tends to 2.

Each value of x from the left and right gets me closer to 2 but never reaches 2, which is the basic limit idea.

Yes?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,640

Re: Complete Table Using Limits

Yes that's right.

But (small point)

Values for x: 2.001, 2.01, 2.1

I'm being very picky but this should be 2.1,  2.01, 2.001

as you're supposed to be getting closer and closer from the right.

Bob

---

Children are not defined by school ...........The Fonz
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Sometimes I deliberately make mistakes, just to test you!  …………….Bob

nycmathguy

Member

Registered: 2021-06-02

Posts: 53

Re: Complete Table Using Limits

Yes that's right.

But (small point)

Values for x: 2.001, 2.01, 2.1

I'm being very picky but this should be 2.1,  2.01, 2.001

as you're supposed to be getting closer and closer from the right.

Bob

Ok. I had the values x is tending to from the right in reverse order.