Provide an appropriate response.It can be shown that the inequalities 1 -  <  < 1 hold for all values of x close to zero. What, if anything, does this tell you about  Explain.

What will be an ideal response?


Answers may vary. One possibility: 1 -  = 1 = 1. According to the squeeze theorem, the function  , which is squeezed between  and 1, must also approach 1 as x approaches 0. Thus, 

Mathematics

You might also like to view...

Find the sum of the geometric series for those x for which the series converges.

A.
B.
C.
D.

Mathematics

Solve the problem.Six people from different occupations were interviewed for a survey, and their annual salaries were as  and  What is the mean annual salary for the six people?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find all values for which at least one denominator is equal to 0. Write answers using the symbol ?. Do not solve. -  = 

A. x ? 13, 19 B. x ? 13, 19, 20 C. x ?0, 13, 19 D. x ? 0

Mathematics

Solve the inequality.For the function g(x) = x4 - 64x2, solve g(x) < 0.

A. (-?, -8) ? (8, ?) B. (-?, -8) ? (0, 8) C. (-8, 0) ? (8, ?) D. (-8, 0) ? (0, 8)

Mathematics