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#1 2021-06-10 12:45:09

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?

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#2 2021-06-10 20:16:30

Bob
Administrator
Registered: 2010-06-20
Posts: 9,208

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
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#3 2021-06-11 09:14:00

nycmathguy
Member
Registered: 2021-06-02
Posts: 53

Re: Complete Table Using Limits

Bob wrote:

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.

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