Question

Find the end behavior of the function f(x)=1.6^xsin3x

Answer 1

Answer:a

Step-by-step explanation:

Given

$f(x)=1.6^x\sin 3x$

we know that value of sin function vary between $-1\ \text{to}\ 1$

i.e. it take finite value so

$\lim \limits_{x\rightarrow -\infty}f(x)=\lim \limits_{x\rightarrow -\infty}\quad 1.6^x\sin 3x$

when $x\rightarrow -\infty$

then $1.6^x\rightarrow 0$

therefore

$\lim \limits_{x\rightarrow -\infty}\quad 1.6^x\sin 3x=0$

option a is correct