Question: 1) Using the chart, approximate the limit of the function f(x) = sin x/ x as x approaches zero. Note the numbers are in radians:

1) Using the chart, approximate the limit of the function f(x) = sin x/ x as x approaches zero. Note the numbers are in radians:

-1

-0.25

-0.01

-0.005

0.005

0.01

0.25

f(x)

Round the values for f(x) to 4 places

2) Using a method like 1 above, approximate the limit of the function as x approaches zero to three decimal places.What famous number does this limit approach?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

1) Using the chart, approximate the limit of the function f(x) = sin x/ x as x approaches zero. Note the numbers are in radians: x -1 -0.25 -0.01 -0.005 0.005 0.01 0.25 1 f(x) Round the values for...

Using the chart, approximate the limit of the function f(x) = sin x/x asx approaches zero. Note the numbers are in radians: -1 -0.25 -0.005 X f(x) 2) Using a method like 1 above, approximate the...

What is the third derivative of f (@) = cos (2x)? O A. 2 sin 2x O B. -4 cos 2x O C. 8 sin 2x O D. 8 cos 2x O E. -8 cos 2x 2 ? Which of the integrals is equal to lim + 4k n-+00 O A. Say x3dx O B....

(1 point) Approximate the limit of the function f(x) = (1 1 x) " as x approaches 0 numerically and graphically a. Evaluate the function f at the following values of x near zero. Enter at least four...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Consider the function f ( x) = tan -1( tan x ). Then f (0) =f (x) =0. Your professor claims that by the Mean Value Theorem, there is a number con (0, x) such that f(c) =0. (a) Prove your professor...

Question: True or False. If it is false please note why the statement is false. 1) 2) 3) 4) 5) 6) 7) 8) 9) 10] 11] 12] 13] 14] 15] 16] 17) 18] 19) 20] 21) 22] 23] 24) 25] 26] 27) 28] 29] 30] 31] 32]...

1. Find the domain of the function f ( x )= x 2 x +2 1) ______ (A) D=( ,2 ) ( 2, ) (B) D=( ,2 ) (2, ) (C) D= ( 2, ) (D) D=(2, ) (E) none of the above 1 2. According to the Center for Disease Control...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

Please explain to me clearly and show how to do the two suppositions in the (question) file. Please take a look at the (notes) file and see the material up to the questions will be needed to answer...

The Moon's distance from Earth varies between 3.56 105 km at perigee and 4.07 105 km at apogee. What is the ratio of its orbital speed around Earth at perigee to that at apogee?

You are a pension fund manager who anticipates having to pay out 8 percent (paid semiannually) on $100 million for the next seven years. You currently hold $100 million of a floating-rate note that...

Which of the following is an example of a tax planning strategy that involves reinvesting profits back into a business to defer taxes? Pay off debt Invest in stocks Buy new equipment Take a cash...

Please fill in the blank entries in the table below. Zcom Inc. 270,000 2,500 Sales Sales Discounts Sales Returns and Allowances Net Sales Cost of Goods Sold Gross Profit Barton Corporation Northstar...