1. If the approaching value of \( x \) is \( - 1.6 \) , what are the test numbers you should use when you create a table of values to evaluate the limit of a function?
2. Explain the difference between \( x - > c ^ { - } \) and \( x - c ^ { + } \).
3. Can the limit symbol be distributed to evaluate limits for the four fundamental operations?
4. Explain when can you use L'Hopital's Rule and how do you use it. Provide \( 2 \) samples
5. Chose one limit technique and discuss provide a sample.
-1.9,-1.8,-1.7, -1.5,-1.4,-1.3
Find the inverse for each of the following functions.
\(f ( x ) = 3 x + 1\)
\(g ( x ) = 1 x ^ { 3 } - 5\)
\(h ( x ) = \frac { 3 } { x + 5 }\)
\(j ( x ) = \sqrt[ 3 ] { x + 1 }\)
The total revenue from the sale of a popular book is approximated by the rational function \( R ( x ) = \frac { 1700 x ^ { 2 } } { x ^ { 2 } + 4 } \) , where \( x \) is the number of years since publication and \( R ( x ) \)
is the total revenue in millions of dollars.
(a) Find the total revenue at the end of the first year.
(b) Find the total revenue at the end of the second year.
