Question

Find the value of K such that the function is continuous

Answer 1

\[\Huge f(x)=\frac{2^{x+2}-16}{4^x-16},if~ x \neq 2\]
\[\Huge f(x)=k,if~x=2\]

Answer 2

Isn't it \(1\)?

Answer 3

\[\LARGE \lim_{x \rightarrow 2} \frac{2^{x+2}-16}{4^x-16}\]
are we supposed to find this?

Answer 4

Yes.

Answer 5

It's clearly \(1\)/

Answer 6

Or wait.

Answer 7

\[\Large \frac{2^{x}.2^2\log2}{4^xlog4}\]

Answer 8

something like that,maybe

Answer 9

lol, I thought the question was something else. -_-

Answer 10

im not sure what it means :/

Answer 11

that gives log(-2) -.-

Answer 12

Yeah, we have to find the limit.

Answer 13

and left will equal right if a plug will fix...

Answer 14

my limit comes out to be log(-2) which is undefined :/