find the given limit.\nlim (2x^4 - 5x^3 + 9)\nx→2\n\nlim (2x^4 - 5x^3 + 9) =\n x→2\n(simplify your answer.)

Explanation:

Step1: Substitute x = 2

Substitute x = 2 into the expression $2x^{4}-5x^{3}+9$. $2\times(2)^{4}-5\times(2)^{3}+9$

Step2: Calculate powers

Calculate $(2)^{4}=16$ and $(2)^{3}=8$. $2\times16 - 5\times8+9$

Step3: Perform multiplications

$32-40 + 9$

Step4: Perform additions and subtractions

$32+9-40=1$

Answer:

$1$