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:
Step-by-step explanation:
17
From the figure , it is quite clear that the sides AB and AC have the same measure , i.e. , 8 units .
we know that ,
angles opposite to equal sides are equal.
therefore ,
∠B = ∠C = 30°
Now ,
angle sum property of a ∆ states that the sum of all the angles of a triangle equals 180°
thus ,
therefore ,
option ( c ) 120° is correct .
hope helpful ~
Yes, you can use the pythagorean theorem because when putting a diagonal in a rectangal, it creates 2 right triangles.
Given:
Nick has x toy race cars. This is one-third of what Bob has.
So, the number of Nick toys = one-third of what Bob has.
Let the Bob has y toys
So, we can write the following expression:
Solve for y, multiply both sides by (3):
So, the answer will be:
Bob has (3x) toy race cars.