Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis
at six that ends at the open point 2, 6, a closed point at 2, 1, and another horizontal line starting at the open point 2, negative 3. Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..
From the graph it is noticed that the value of the function is 6 from all values of x which are less than 2. At x=2, the line y=6 has open circle. It means x=2 is not included.
For x<2
The value of the function is -3 from all values of x which are greater than 2. At x=2, the line y=-3 has open circle. It means x=2 is not included.
For x>2
The value of y is 1 at x=2, because of he close circles on (2,1).
For x=2
Therefore the graph represents a piecewise function, which is defined as
The limit of a function exist at a point a if the left hand limit and right hand limit are equal.
The function is broken at x=2, therefore we have to find the left and right hand limit at x=2.
Since the left hand limit and right hand limit are not equal therefore the limit of the function does not exists.
As the graph moves from the left, over and over and over is consistently 6 when x = 1, limit is 6, 1.5, 6, 1.9, still 6, 1.999999999 still 6, 1.9999999999999999999999999 the limit is 6 still, now when x = 2, y = 1
but for the sake of a limit, it doesn't really matter if y = 6 or not at x = 2
as "x" is moving over and over and over from the left, the limit is consistenly, 6 now, it will not be 6 at x = 2, but that doesn't matter the limit is "what is 'y' approaching as 'x' moves along", and is 6 from the left
now, from the right, is consistenly -3 same, as x = 2, y = 1 but at x = 3, the limit is -3, x = 2.9, -3 still, 2.1, -3 still, 2.00000000000000000000000000000000001, the limit is still -3 thus, from the right, is -3
3% is the interest so you would do 3% of the investment plus the original investment so 3%×I=z and then z+I=the answer. sorry if this didnt help I'm new and I tried my best sorry!
First, you have to set a system of equations to determine the number of fiction and of nonfiction books.Call f the number of fiction books and n the number of nonfiction books. Then 400 = f + n. And f = n + 40 => n = f - 40 => 400 = f + f - 40 => 400 - 40 = 2f => f = 360 / 2 = 180. Now to find the probability of picking two fiction books, take into account the the Audrey will pick from 180 fiction books out of 400, and Ryan will pick from 179 fiction books out of 399, so the probability will be<span> (180/ 400) * (179/399) = 0.20 (rounded to two decimals). Answer: 0.20</span>