Posted by Amber on Sunday, January 25, 2015 at 9:39pm.
1.) Find the equation of the line that is tangent to the graph of yy^3 at x=1.
2.) lim x>0 ((sin x*cos 2x)/3x)
3.) Show, using the squeeze theorem, that the limit of Xe^(sin 1/x) as x>0 is 0.

Calculus  Amber, Sunday, January 25, 2015 at 10:18pm
Typo: 1.) Find the equation of the line that is tangent to the graph of y=x^3 at x=1.

Calculus  Reiny, Sunday, January 25, 2015 at 10:45pm
1.
y = x^3 , at x = 1, y=1, so we have the point(1,1)
dy/dx = 3x^2 , which is 3, when x = 1
y1 = 3(x1)
y1 = 3x3
3x  y = 2 or y = 3x  2
2. Lim sinxcos 2x/(3x)
= lim sinx/x * cos 2x/3, as x > 0
= (1)*(1/3) = 1/3

Calculus  Steve, Sunday, January 25, 2015 at 11:55pm
Since (sin 1/x) <= 1
e^(sin 1/x) <= e
so x e^sin(1/x) <= x * e > 0 as x>0
Answer This Question
Related Questions
 calculus  using the squeeze theorem, find the limit as x>0 of x*e^[8sin(1/x...
 Calculus  Can you please help me get the solution to this limit without using ...
 calculus  Lim sin2h sin3h / h^2 h>0 how would you do this ?? i got 6 as ...
 Calculus  The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), ...
 tigonometry  expres the following as sums and differences of sines or cosines ...
 calculus  1. Which of the following expressions is the definition of the ...
 Limit Calculas  Evaluate lim>4 sin(2y)/tan(5y) Here is what I have so far. ...
 algebra  Can someone please help me do this problem? That would be great! ...
 calculus  5. Find the equation of the tangent line to the graph of f(a) = sec(...
 Calculus  yes! tnk u ok? It's actually (x>0.) Find the limit of cot(x)csc(...
More Related Questions