Function limits:
Exercise approximation method

9514 1404 393

  A. 2

  B. 6

Step-by-step explanation:

The attachment shows the table of values for exercises A and B.

A spreadsheet is also a useful tool for repeated function evaluation. Most spreadsheets carry about 16 significant digits, so can give good approximations down to very small differences from the limit value.

__

Additional comment

Here, the function simplifies to ...

  f(x) = (2x)(x -1)/(x -1) = 2x

The simplified function can be evaluated directly at the limit value of x, with no approximation needed.

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.