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.
Step-by-step explanation:
Area of trapezium = 1/2(a+b)h
= 1/2(10+24)12
= 1/2×34×12
= 204 square units
Step-by-step explanation:
2x+3(-7+3x)=12
x=3
y=-7+3x3
y=2
(x,y)=(3,2)
Answer:
y = (x-3)^2 -16
Step-by-step explanation:
y = x^2 -6x-7
We need to complete the square
b= -6
b/2 = -6/2 = -3
(b/2) ^2 = (-3)^2 =9
Add 9 then subtract 9 to balance the equation
y = x^2 -6x +9 -9 -7
y = (x^2 -6x+9) -16
The terms in parentheses is (x-b/2)^2
y = (x-3)^2 -16
This is in vertex form
The vertex is (3,-16)
