Interpreting your expression as

when  approaches zero, the numerator approaches 3:
 approaches zero, the numerator approaches 3:

The denominator approaches 0, because 
Moreover, we have

So, the limit does not exist, because left and right limits are different:

 
        
             
        
        
        
There are many solutions. Some are 470 and 6, 471 and 5, 472 and 4.
        
                    
             
        
        
        
Answer:
The three consecutive odd integers are: -1, 1, 3
Step-by-step explanation:
The three consecutive odd integers be x, x + 2, x + 4
Now according to the question
It is mentioned that 
The four times the middle integer is two lower than tfhe sum of the first and third
i.e.
4(x+2) = [x + (x+4)] + 2
4x + 8 = 2x + 6
2x = -2
x = -1
Hence, The three consecutive odd integers are: -1, 1, 3
 
        
             
        
        
        
Answer:
70.5°
Step-by-step explanation:
To solve for the ladder's angle of elevation, we solve using the Trigonometric function of Cosine
= cos θ = Adjacent/Hypotenuse
Where
Adjacent = Distance of the base from the house = 10ft
Hypotenuse = Length of the ladder = 30 ft
cos θ = 10/30
cos θ = 1/3
θ = arc cos 1/3
θ = 70.528779366
Approximately = 70.5°
Therefore, the ladder's angle of elevation is 70.5°