calculus
posted by Emma .
lim x^(3)+x
x>2
Suppose x^(2)+1 is greater than equal to f(x) is greater than equal to 4x3 for all x.
Compute
lim f(x)
x>2

since x^2+1 = 4x3 at x=2, the limit is 5.
Respond to this Question
Similar Questions

AlgebraCorrection?
Solve x^2 3x is greater than or equal to 10 Would the solutions be x=5 and x= 2? 
calc bc (condensed
is the limit as x approaches 0 of sin3x over 3x equal to zero? 
survey of clac
g(x)={x+6, for x<2, 1/2x+1, for x> or equal to 2, find the limit: lim g(x)= lim g(x)= x>2^ x>2^+ lim g(x)= lim g(x)= x>2^+ x>4^ 
Calulus Completely lost
Find the indicated onesided limit, if it exists 1.lim f(x) and lim f(x), where x>0^+ x>0^ 2. f(x) = [2x if x is less than 0] [x^2 if x is greater than or equal to 0] 
Math
Find the indicated onesided limit, if it exists 1.lim f(x) and lim f(x), where x>0^+ x>0^ 2. f(x) = [2x if x is less than 0] [x^2 if x is greater than or equal to 0] 
Calculus
Find the following limits algebraically or explain why they don’t exist. lim x>0 sin5x/2x lim x>0 1cosx/x lim x>7 x7/x7 lim x>7 (/x+2)3/x7 lim h>0 (2+h)^38/h lim t>0 1/t  1/t^2+t 
math
State the null hypothesis, Ho, and the alternative hypothesis, Ha, that would be used to test the following statements. (a) The linear correlation coefficient is positive. Ho: ñ Select not equal to equal to greater than less … 
Calculus  Limits. Check my answer, please! :)
Suppose that h(x)={x^2x+5 if x<2 {5 if x=2 {x^31 if x>2 Which of the following is equal to 7? 
physics
A beam of electrons with momentum p=10^23 kg m/s passed through a narrow slit of width d=10^5 m. What is the uncertainty component of the momentum in the xdirection due to the uncertainty principle (approximately)? 
Calculus
Show that the curve y=6x^3+5x3 has no tangent line with slope 4. The answer key says that m=y'=18x^2+5, but x^2 is greater than or equal to 0 for all x, so m is greater than or equal to 5 for all x. I don't understand that x^2 is …