Lim [(x-1)²×(7x+2)²] ÷ (2x+1)⁴

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.

x/3-10=8

x/3=18

x=48