Question

) Using the chart, approximate the limit of the function f(x) = sin x/ x as x approaches zero. Note the numbers are in radians:

Answer 1

Answer:

1

Step-by-step explanation:

We are given that

$f(x)=\frac{sinx}{x}$

Numbers are in radians

Substitute x=-1

$f(-1)=\frac{sin(-1)}{-1}=0.84$

Substitute x=-0.25

$f(-0.25)=\frac{Sin(-0.25)}{-0.25}=0.989$

Substitute x=-0.01

$f(-0.01)=\frac{sin(-0.01)}{-0.01}=0.999$

Substitute x=-0.005

$f(-0.005)=\frac{sin(-0.005)}{-0.005}=0.999$

Substitute x=0.005

$f(0.005)=\frac{sin(0.005)}{0.005}=0.999$

Substitute x=0.01

$f(0.01)=\frac{sin(0.01)}{0.01}=0.999$

Substitute x=0.25

$f(0.25)=\frac{sin(0.25)}{0.25}=0.989$

Substitute x=1

$f(1)=\frac{sin(1)}{1}=0.84$

Therefore, $\lim_{x\rightarrow 0}\frac{sinx}{x}=1$