Question

if the limit as x approaches -3 of f(x)/x^2, find the limit as x approaches -3 of f(x)

Answer 1

?

Answer 2

sorry, its supposed to say if the limit as x approaches -3 of f(x)/(x^2)=1, find...

Answer 3

what do you think?

Answer 4

i really don't know. i do not understand limits

Answer 5

You can directly substitute x = -3 into the expression and figure out f(-3).

Answer 6

what does the bottom (denominator) go to?

Answer 7

so would i graph x/x^2 and see where it equals -3?

Answer 8

the denominator goes to x(x)

Answer 9

no... substitute in x = -3 into the bottom function. what do you get?

Answer 10

9

Answer 11

\[\lim_{x \rightarrow -3}\frac{ f \left( x \right) }{ x^2}=\frac{ \lim_{x \rightarrow -3} f \left( x \right)}{ \lim_{x \rightarrow -3} x^2}=1 \Rightarrow \lim_{x \rightarrow -3} f \left( x \right)=\lim_{x \rightarrow -3} x^2\]

Answer 12

learn your properties of limits!