exam Maths Puzzle Numerical Ability

Find the horizontal asymptote, if any, of the graph of the rational function.

f(x)=8x/2x^2+1

a. y=1/4
b. y=0
c. y=4
d. no horizontal asymptote

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exam Other Question

Could someone check my work on this problem:

x/(x-2)-2/x

x^2-2(x-2)/(x-2)x

x^2+(-2x-2(-2))/(x-2)x

x^2 + (-2x + 2 * 2)/(x - 2)x

x^2 + (-2x + 4)/(x-2)x

x^2 - 2x + 4/(x-2)x
Solve for X

5/x-(2x) /x+2 = (x squared +10x+8 /(x squared +2x)