Question

Find the limit of the following: 6 Ilme (x-4)2 X-44 The limit is o х 6 Time(x-4)2 The limit is 6 lime (x-4)2 The limit is DNE X 8. [-12 Points) DETAILS Find the limit of the following: 5e4-4e-4-x Flim *-+ 3e4x+8e-4x The limit is Sex de-4x lim x--- 3e-x+Be The limit is 27

the website required a real numbers the infinity symbol not available

Answer 1

Given:

Right limit:

$\lim _{x\to 4^+}\left(\frac{6}{e^{\left(x-4\right)^2}}\right)$

Insert .

T=4

6 e(4-4)

$\frac{6}{e^{\left(0\right)^2}}=6$

Left limit:

6 lim 6 elr-4)

Right limit and left limit are equal:

$\lim _{x\to 4}\left(\frac{6}{e^{\left(x-4\right)^2}}\right)=6$