   Chapter 10.1, Problem 9E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 5–34, estimate the given limit numerically if it exists. [HINT: See Examples 1–3.] lim x → − 1 x 2 + 1 x + 1

To determine

To calculate: The value of limx1x2+1x+1, if it exists.

Explanation

Given information:

The limit is limx1x2+1x+1.

Formula used:

The limit limxaf(x) exists at a point ‘a’ if its right limit and left limit exist.

Calculation:

Consider the expression, limx1x2+1x+1

Where, f(x)=x2+1x+1

Make the table for the corresponding values of f(x) by substituting random values of x approaching 1 from left and right, by using the ti-83 calculator,

Step1: Press ON key of the calculator.

Step 2: Press “Y=” key and enter the provided function as, (X2+1)(X+1).

Step 3: Press 2nd key and then press WINDOW key.

Step 4: TABLE SETUP window will open, now set TblStart as 0, Tbl=1, select IndPnt to

“Ask” and DePend to “Auto”.

Step 5: Now press again 2nd key and then press GRAPH key.

Step 6: A table window will open with X and Y1 columns.

Step 7: Enter some values of X likes, 1.1, 1.01, 1.001, 1.0001, 1, 0.9999, 0.999, 0

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