Calculus Tutorial 2.3.005
Problem Statement
eval rand(4,8);
eval 5-1;
eval 4/5 ;
Evaluate the limit using the Limit Laws.
Step 1
Question 1
The function, , is a constant 4 times another function
. Thus, to find the limit of f(t), the appropriate Basic Limit Law to first use is the
2
Correct.
The function f(x) could be viewed as a product of a constant and another function.
Incorrect.
Step 2
The Constant Multiple Law states:
For any number k, exists and
.
Question 2
Thus, =
2
Correct.
That's not right. Check your work.
Incorrect.
Step 3
Recall and
.
Question 3
Since , the will be used to evaluate the limit.
where and
therefore, /
2
Correct.
That's not right. Check your work.
Incorrect.