Chapter 1. Calculus Tutorial 2.2.053

1.1 Problem Statement

#Tutorial variables #per editor, only two points now so that randomization is possible. do{ ($t_sel, $t_les) = pick(2, (4..7) ); @t_c = (1, 1, 3, 3, 5, 5, 6, 6); }until( $t_c[$t_sel]!=$t_c[$t_les] ); @t_sign = ('-', '+', '-', '+', '-', '+', '-', '+'); @t_answ = (3, 3, '-infinity', 4, 2, -3,'infinity','infinity'); $a=$t_c[$t_sel]; $b=$t_c[$t_les]; $c=$t_sign[$t_sel]; $d=$t_sign[$t_les]; $e=$t_answ[$t_sel]; $f=$t_answ[$t_les]; ''

Determine the one-sided limits of the function f(x) in the figure at the points c = 5, 6.

1.2 Step 1

Recall how to find one-sided limits.

Question Sequence

Question 1.1

The limit converges to L as x approaches c through values HG28uSV7ezlGAR9SOGaiKSicqRcCoggbNrc1leQu8gIX2QEWc.

Incorrect.
Correct.

Question 1.2

This limit is referred to as the m8kAO09C4JJL8fq7KZw0Z1vHgCfTMlGg limit.

Incorrect.
Correct.

Question 1.3

The limit if converges to L as x approaches c through values UHaYSvdJW7/PJ6qmnDEXemn762vvWogsTFhUxWDHcatN0hkDc.

2
Correct.
Recall for a left-handed limit, we seek to make values of f(x) arbitrarily close to the limit for values of x less than c. For the right-handed limit, we seek to make values of f(x) arbitrarily close to the limit for values of x greater than c.
Incorrect.

Question 1.4

This limit is referred to as the sMSe1gALxiMKb76HKkW4BEevjolksEF3 limit.

Correct.
Incorrect.

Question 1.5

or if f(x) increases beyond bound as x approaches c from the right or left respectively.

or if f(x) becomes arbitrarily large (in absolute value) but 7/20qeQxZUIgqZBFPiGrDpfo7meUswNIZlpuYA== as x approaches c from the right or left respectively.

Correct.
Incorrect.

1.3 Step 2

From the graph given in the Problem Statement, determine the left-handed limits by examining the values of the function for values of x slightly less than and approaching the given value c. (enter "inf" for )

Question Sequence

Question 1.6

XvVM00l89Is=

3LecBr2w/JA=

2
Correct.
Try again.
Incorrect.

1.4 Step 4

To determine the right-hand limits, examine the values of the function for values of x slightly greater than and approaching the given value of c. (enter "inf" for ).

Question Sequence

Question 1.7

80ApVAOlSEc=

3LecBr2w/JA=

2
Correct.
Try again.
Incorrect.