Answer:
As x ---> 0 limit = 4.
As x ---> ∞ limit = 49/16.
Step-by-step explanation:
If you mean the limit as x approaches 0, you can find that by plugging x = 0 into the fraction:
limit = (0-1)^2 x (7(0) + 2)^2 / (2(0) + 1)^4
= 1^2 x 2^2 / 1^4
= 4/1
= 4.
If it is the limit as x approaches infinity, as the degree of the numerator and denominator are the same the limit is the value obtained by taking the coefficients of x:-
Limit as x --->∞ = (1^2 * 7^2) / 2^4
= 49/16.
