To evaluate the limit first we will divide by the highest power of the function which is x^3.

==> lim (7x^2+5x)/(8x^3+6x) = lim x^3(7/x+5/x^2)/limx^3(8+6/x^2)

==> lim (7/x +5/x^2)/ lim (8+6/x^2) = 0+0/(8+0)=0/8=0

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