Question

could someone please help me with this question?
If 3x − 4 ≤ f(x) ≤ x^2 − 3x + 5 for x ≥ 0, find
lim of f(x) as x→3

Answer 1

take limit through out

\[\large \lim \limits_{x\to 3} 3x − 4 ≤ \lim \limits_{x\to 3} f(x) ≤ \lim \limits_{x\to 3} x^2 − 3x + 5 \]

Answer 2

evaluate the limit for left and right expressions ^^

Answer 3

so limit = 5 ?

Answer 4

yes !

\[\large 5≤ \lim \limits_{x\to 3} f(x) ≤ 5\]

gives you \(\large \lim \limits_{x\to 3} f(x) = 5 \)

Answer 5

thanks alot