Calculus
posted by Trevor .
If
12x − 52 ≤ f(x) ≤ x2 + 4x − 36
determine lim x→ 4 f(x) =
What theorem did you use to arrive at your answer?

Calculus 
bobpursley
on the left, as x>4, 4852
On the right, as x>4, 16+1636
so
4<=f(x)<=4
so, squeezed from the right, squeezed from the left, lim f(x) x>4 = 4
Respond to this Question
Similar Questions

Math: Pre Cal
f(x) = {−8 if −3 ≤ x ≤ 0 {x if 0 < x ≤ 3 Evaluate the given expressions. a)f(1)= b)f(0)= (^Teach how to do this.) What is the formula? 
Calculus
If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ b f(x) dx a≤ M(b − a). Use this property to estimate … 
Calculus
If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ b f(x) dx a≤ M(b − a). Use this property to estimate … 
Grade 12 Calculus
Determine the maximum and minimum of each function on the given interval. a) = 2x^3 − 9x^2 ,−2 ≤ x ≤ 4 b) = 12x − x^3 , x∈ [−3,5] 
calculus
Determine the maximum and minimum of each function on the given interval. a) = 2x^3 − 9x^2 ,−2 ≤ x ≤ 4 b) = 12x − x^3 , x∈ [−3,5] 
calculus
Determine the maximum and minimum of each function on the given interval. a) = 2x^3 − 9x^2 ,−2 ≤ x ≤ 4 b) = 12x − x^3 , x∈ [−3,5] 
CALC
Determine the maximum and minimum of each function on the given interval. a) = 2x^3 − 9x^2 ,−2 ≤ x ≤ 4 b) = 12x − x^3 , x∈ [−3,5] 
probability
Let Sn be the number of successes in n independent Bernoulli trials, where the probability of success for each trial is 1/2. Provide a numerical value, to a precision of 3 decimal places, for each of the following limits. You may want … 
Calculus
Let f be a function such that f(−6)=−6, f(6)=6, f is differentiable for all real values of x and −1≤f'x≤1 for all real values of x. Prove that f(x)=x for all −6≤x≤6 I tried applying the … 
Calculus
f is a continuous function with a domain [−3, 9] such that f(x)= 3 , 3 ≤ x < 0 x+3 , 0 ≤ x ≤ 6 3 , 6 < x ≤ 9 and let g(x)= ∫ f(t) dt where a=2 b=x On what interval is g increasing?