evaluate the limit

lim x ➟ ꝏ
(5x^2+3x)/(7x^4+2x^2+10)^1/2

how would I got about solving this? you can factor out an x on top but the bottom cant be factored (i dont think). the highest power in the denominator is x^4 but when you divided the top and the bottom by it then you still dont get a proper answer.

1 answer

lim x ➟ ꝏ
(5x^2+3x)/(7x^4+2x^2+10)^1/2

the lead coefficient of (7x^4+2x^2+10)^1/2 will be √7 x^2
so lim x ➟ ꝏ
(5x^2+3x)/(7x^4+2x^2+10)^1/2 will converge to 5/√7 or (5√7) / 7