Calculus Tutorial 2.2.053

 
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.

 
Step 1

Recall how to find one-sided limits.

Question Sequence

Question 1

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

Incorrect.
Correct.

 
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 6

2
Correct.
Try again.
Incorrect.

 
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 7

2
Correct.
Try again.
Incorrect.