Guess lim by constructing a table of suitable values using a calculator. Guess l

Question

Guess lim by constructing a table of suitable values using a calculator. Guess lim sin 1 / x cos by constructing a table of suitable values using a calculator. (Use radians. ) Guess lim x right arrow by constructing a table of suitable values using a calculator. Guess by constructing two tables of suitable values using a calculator. Sketch a graph of a function y = f(x) with domain [0. 6] for which the following six limits are correct: (Bonus question: worth 10 points. Total points for assignment not to exceed 100. ) Guess and by constructing two tables of suitable values using a calculator. (Careful: The expression is | sinx|1 / sin x, not |sinx|1 / sinex)

Explanation / Answer

The easiest way to do this is if you have a graphing calculator. you can type in the function into the y= section, and then go to the graph. Essentially, pick x-values that are around 2. An example could be the following:

X Y

1

1.25

1.5

1.75

1.9

1.95

1.99

1.999

2.001

2.01

2.05

2.1

2.25

2.5

2.75

3

I would plug all of these values into the calculator for your function and see how the Y-value changes. You can confirm by taking a look at the graph as well.

FYI: You should get a value of 12 as the limit.

Another way to do this would be to factor both the numerator and the denominator. The numerator factors into (x-2)(x^2+2x+4) while the denominator is already factored. Just cancel out the common factor and evaluate the limit on what is left; that is, (x^2+2x+4). Plugging in 2 for x gives a limit of 12.

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.