Yes, you are right, if it approaches from the left, the limit is infinity and if it approaches from the right, the limit is negative infinity. The limit does not exist because it reaches infinity as x approaches pi/2 and the limits are the same when the value is approached from the opposite directions.

Step-by-step explanation:
d=20
r=10
π=3



First we have to rewrite this function.Instead of :^3 sqrt (...) we can write : (...)^(1/3).
f ( x ) = ( 27 x - 81 ) ^(1/3) - 5 = ( 27 * ( x - 3 ) ) ^(1/3) - 5 = = 3 * ( x - 3 )^(1/3) - 5 And this makes it easy to graph a translation.The parent function is y = x^(1/3). The zero of this function is ( 0, 0 ).
Then it will be stretched vertically by a factor of 2 and translated: 3 units right and 5 units down.
I believe the answer would be x = - 7/4
To find this out first we will see how many cars they assemble in 1 hour. Lets do it:-
150 / 3 = 50
50 cars per hr
50 * 8 = 400
400 cars in 8 hrs
CHECK OUR WORK;-
400 / 8 = 50
We were RIGHT!!
So, in 8 hrs the factory can assemble 400 cars.
Hope I helped ya!! xD