Question

Evaluate the following limit.

Answer 1

Answer:

-191

Step-by-step explanation:

A limit is the value that a function approaches as the input approaches some value.

We say $\displaystyle \lim_{x\rightarrow a}f(x)=L$ if f(x) approaches to L as x approaches to a.

To find:$\displaystyle \lim_{x\rightarrow -4}2x^3-4x^2+2x+9$

Solution:

Let $f(x)=2x^3-4x^2+2x+9$

On putting x = -4 in function $f(x)=2x^3-4x^2+2x+9$, we get

$\displaystyle \lim_{x\rightarrow -4}2x^3-4x^2+2x+9\\=2(-4)^3-4(-4)^2+2(-4)+9\\=2(-64)-4(16)-8+9\\=-128-64-8+9\\=-128-63\\=-191$