Discuss the behaviour of y= x^2-x-12/2x^2+7x+3=(x-4)(x+3)/(2x+1)(x+3) as x approaches infinity and x approaches zero

Question

Finding the limit of a function as x approaches infinity or zero pls help reply asap

 

Answer 1

To find the limit as x approaches ∞, divide each term in the numerator and the denominator by the highest power of x, which is x². You should be able to determine that the limit will be 1/2. 

 

To find the limit as x approaches zero, simply replace each instance of x in the function with zero and compute the limit.