Answer:
4
Step-by-step explanation:
lim (x^2 - 4) / (x - 2)
x --> 2
When we plug x =2, we get
(2^2 - 4) / (2 - 2)
= (4 - 4)/(2 - 2)
= 0 /0
Which is undefined.
Now we have to use L'hospital rule. Which says we need to differentiate the numerator and the denominator and apply the limit.
When we differentiate x^2 -4, we get 2x
When we differentiate x -2, we get 1
lim 2x/1
x --> 2
Now apply, the limit x = 2
2(2)/1
= 4/1
= 4
Therefore, limit of this function is 4, when x tends to 2.
Hope you will understand the concept.
Thank you.
Answer:
240 would be the answer that is what i got
Step-by-step explanation:
Answer:
Gina's pay rate next month will be =$9.9 per hour
Step-by-step explanation:
Gina was initial earnings was = $10 per hour
She received an increase by = 10%
Increase in amount received = ![10\%\ of\ \$10= 0.1\times\$10 =\$1](https://tex.z-dn.net/?f=10%5C%25%5C%20of%5C%20%5C%2410%3D%200.1%5Ctimes%5C%2410%20%3D%5C%241%20)
New earnings =
per hour
Next month her pay rate will decrease by = 10%
Decrease in pay rate next month will be = ![10\%\ of\ \$11= 0.1\times\$11 =\$1.1](https://tex.z-dn.net/?f=10%5C%25%5C%20of%5C%20%5C%2411%3D%200.1%5Ctimes%5C%2411%20%3D%5C%241.1%20)
Thus, Gina's pay rate next month will be =
per hour