find the given limit. lim (5x^3 - 8x^2 + 6) x→1 lim (5x^3 - 8x^2 + 6) = x→1 (simplify your answer.)

Explanation:

Step1: Substitute x = 1

Substitute x = 1 into the expression $5x^{3}-8x^{2}+6$. $5\times(1)^{3}-8\times(1)^{2}+6$

Step2: Calculate powers

Calculate $(1)^{3}=1$ and $(1)^{2}=1$. $5\times1 - 8\times1+6$

Step3: Perform multiplications

$5 - 8+6$

Step4: Perform additions and subtractions

$5+6 - 8=3$

Answer:

3