Answer:
d) lim f(x) = -0.5
x---> 0
Step-by-step explanation:
Given:
lim [√(1 - x) - 1]/x
x -->0
When we directly substitute the limit x =0, we get
= 0/0 which is indeterminant form.
Now we have to use the L'hospital rule.
This is nothing but we need to differentiate the numerator and the denominator and apply the limit
d/dx (√1 - x) - 1= 1/2(√1 - x)^-1/2 (-1)
= -1/2(1-x)^1/4
Now we can apply the limit
lim -1/2(1 - x)^1/4 = -1/2 (1-0)^1/4
= -1 / 2(1)^1/4
= -1/2
= -0.5
Hope you understand the concept.
Thank you.
x-->0
Answer:
4.24
Step-by-step explanation:
See the attached diagram.
The models show a total of 3 wholes, 12 tenths, and 4 hundredths.
After regrouping 10 tenths into one whole there are 4 wholes, 2 tenths, and 4 hundredths.
Therefore, the sum of the numbers is (4 + 0.2 + 0.04) = 4.24. (Answer)
Answer:
1/6
1/12
1/2
Step-by-step explanation:
There are three possible outcomes in the left spinner, and four possible outcomes in the right spinner. So there are a total of 3×4=12 possible combinations. We can show that by making a grid:
Of these 12 combinations, 2 show both spinners landing on the same color (RR and BB). So the probability is 2/12 = 1/6.
There is only 1 outcome in which the first spinner lands on R <em>and</em> the second spinner lands on P (PR), so the probability is 1/12.
There are 6 outcomes in which the first spinner lands on R <em>or</em> the second spinner lands on P (RR, BR, PR, RY, BP, GP). So the probability is 6/12 = 1/2.
Answer:
First degree
Step-by-step explanation:
check the picture below. the point 1,3 is on the increasing slope side, so will be 3/3 or 1.