All categories

3 years ago

Find limit as x approaches 1 for x-1/ x^2-3x+2

Mathematics

1 answer:

zysi [14]3 years ago

8 0

I'm going to assume that you meant the following:

(x-1)

---------------

x^2-3x+2

Factoring the denominator, we get:

(x-1)

------------

(x-1)(x-2)

Notice that we have x-1 in both the numerator and the denominator. This factor cancels. HOWEVER: x can still not equal 1, which would lead to div. by zero. With the factor x-1 cancelled, we have 1 / (x-2). As x approaches 1 from either side, y approaches 1 / (1-2), or 1 / (-1), or -1. Thus, the limit exists and is -1.

You might be interested in

Mike wants to make meatloaf. His recipe uses a total of 3 pounds of meat. If he uses a 3 to 1 ratio of beef to pork, how much po

nadezda [96]

Beef to pork.....ratio 3:1....added = 4.....this is basically saying that 3/4 of the total meat is beef and 1/4 of the total meat is pork...and the total meat is 3 lbs.

3/4(3) = 9/4 = 2 1/4 lbs of beef
1/4(3) = 3/4 lbs of pork <===

8 0

4 years ago

What is the domain of the function graphed below?

k0ka [10]

Answer:

The domain of this function is [0, infinity ).

Step-by-step explanation:

Here the y-axis is the vertical asymptote. We can therefore deduce that x may never be zero or negative. The domain of this function is [0, infinity ).

3 0

3 years ago

Read 2 more answers

Neil bought a refrigerator from a rental center for $1519. He makes six monthly payments of $287.35 with his credit card. The re

Zolol [24]

<span>Tack on the extra charge of $1.25, since she used her credit card, to get 1804+1.25 = 1805.25

Final Answer: <span>$1,805.25</span></span>

6 0

3 years ago

What is the value of tan D?

Talja [164]

Hey there!

As according to the mathematical acronym SOH CAH TOA (Sin Opposite Hypotenuse, Cos Adjacent Hypotenuse, Tan Opposite Adjacent), the correct answer would be the first choice, $\frac{12}{5}$ .

The reason behind this is because the tangent value of an angle is always the length value opposite of given angle over the value adjacent (or right next to) the given angle.

In this case, the question is asking for Tan D. The side value opposite of angle D would be 12, and the length value that is adjacent to angle D is 5.

Therefore, the value of tan D would be $\frac{12}{5}$ .

Hope this helps and I hope you have a marvelous day! :)

5 0

4 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write the steps to solv

Mkey [24]

Answer:

The computer can perform 1051050 calculations in 10 seconds.

Step-by-step explanation:

1. Put the quantity of calculations the computer can perform in 1 second:

$105105\frac{calculations}{1second}$

2. Multiply the quantity of calculations by 10 seconds:

$105105\frac{calculations}{1second}*10seconds=1051050calculations$

Note that the units of seconds are cancelled as they appear on the numerator and the denominator, and the final response unit is given in calculations number.

The computer can perform 1051050 calculations in 10 seconds.

4 0

3 years ago