Question

lim x-5
x³-125/x²-6x+5​

Answer 1

Answer:

the solution is 18.75

Step-by-step explanation:

x^3 -125 =. (x-5)(x^2 +5x +25)

x^2-6x+5=(x-5)(x-1)

lim {( x^3 -125)/(x^2-6x+5)}

lim {( x^3 -125)/(x^2-6x+5)}x--5

lim {( x^3 -125)/(x^2-6x+5)}x--5lim. { (x^2+5x+25)/(x-1)}

lim {( x^3 -125)/(x^2-6x+5)}x--5lim. { (x^2+5x+25)/(x-1)}x--5

lim {( x^3 -125)/(x^2-6x+5)}x--5lim. { (x^2+5x+25)/(x-1)}x--5now putting x=5 we will get

lim {( x^3 -125)/(x^2-6x+5)}x--5lim. { (x^2+5x+25)/(x-1)}x--5now putting x=5 we will get{(25+25+25)/(5-1)} =(75/4) =18.75