limx--> -∞ sq(x²-2x+3)/x+5
I got 1 as an answer but the answer is -1, can you explain why?
I got 1 as an answer but the answer is -1, can you explain why?
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factor out an x^2
lim x--> -∞ sqrt( x^2 ( 1 / x^4 - 2 / x^3 + 3 / x^2)
lim x--> -∞ x * sqrt(1 / x^4 - 2 / x^3 + 3 / x^2 ) / x + 5
lim x--> -∞ x * sqrt(1 / x^4 - 2 / x^3 + 3 / x^2) / x + 5
x / -x = - 1
It's x^2 in the radical, so it would be a postive x ontop
lim x--> -∞ sqrt( x^2 ( 1 / x^4 - 2 / x^3 + 3 / x^2)
lim x--> -∞ x * sqrt(1 / x^4 - 2 / x^3 + 3 / x^2 ) / x + 5
lim x--> -∞ x * sqrt(1 / x^4 - 2 / x^3 + 3 / x^2) / x + 5
x / -x = - 1
It's x^2 in the radical, so it would be a postive x ontop