Firstly , we will check continuity at x=1
we can use method
Suppose, f(x) is continuous at x=c
then it must satisfy


firstly , we can find limit


so, we get

now, we can find f(1)

so, we got

so, this is continuous at x=1
Hence , option-D...........................Answer
Answer:
twelve
Step-by-step explanation:
20 and 7 Because 4x5 = 20
Answer:
![[0,2]](https://tex.z-dn.net/?f=%5B0%2C2%5D)
Step-by-step explanation:
A local maximum or local minimum is the point where the tangent drawn to it is parallel to the x axis.
The crest of a wave is local maximum and the trough of wave is local minimum.
Here, in the graph, there are 2 troughs and 1 crest.
The crest is at
. So, the local maximum is at
.
The interval of the local maximum is between
and
.
So, the option that matches with the above interval is
.
Answer:
We know that:
If T = area of the triangle
and R = area of the rectangle:
I T - RI < 4.
Now, we know that:
T = 8*6/2 = 8*3 = 24
R = 4*(x - 4) = 4*x - 16
Then replacing those values, we can write:
I24 - (4*x - 16)I < 4
I40 - 4*xI < 4
Now let's solve it:
First we aim for the first value that is not a solutions, this is when:
I40 - 4*xI = 4
we can write this as:
40 - 4*x = +-4
The first extreme is:
40 - 4*x = +4
x = (40 - 4)/4 = 9
The other extreme is:
40 - 4*x = -4
x = (40 + 4)/4 = 11.
Then the set of solutions is: S = (9, 11)