Given: g(x)= [a(x+b)(x-c)(x+d)] / [e(x-f)(x-b)(x-c)] , and a, b, c, d, e, f are all unique positive real numbers a) at what values of x=h, if any, does the limit of g(x) as...
Given: g(x)= [a(x+b)(x-c)(x+d)] / [e(x-f)(x-b)(x-c)] , and a, b, c, d, e, f are all unique positive real numbers a) at what values of x=h, if any, does the limit of g(x) as...
limits question.
Find the horizontal limit(s) of the following function: f(x)= (9x^3-8x^2-8x)/(7-8x-7x^3) I know that one of the horizontal limits is the -9/7, but I'm still missing one...
What is the smallest value of a if the area under the curve y=e^(ax) from -infinity to 4 is 11? I cannot seem to arrive at the answer using integrals. Please help.
the original question is g(x)=t^(2/3) find g'(a) a≠0. I know how to find the derivative using the power rule, but I'm trying to help a Calc I student who hasn't started derivatives yet, and we're...
It is one of the items in my problem set. I am enroled at a distance learning program and I see my professor rarely. I hope someone could help.
If a rock is thrown into the air on small planet with a velocity of 30 m/s, its height (in meters) after t seconds is given by y=30t-4.9t^2. Find the velocity of the rock when t=4. *You should...
Let's say you have: if lim x->a f(x) exists, lim x->a g(x) does not exist, could f(x)g(x) exist? By that same vein, if lim x->a f(x) exists, lim x->a g(x) does not exist, could f(x)/g(x)...
hello here's the problem:we have to find lim x-> -∞ de f(x)=1+2x+2√(x*2+x-2) my teacher has given us this solution : f(x)= 1 +2x + 2√((x+0.5)*2-9/4) so...
lim x→0 (1/4)-(1/(x+4)) x Step 1 would be to get common denominators on the top so.... (1/4)...
Consider the function f(x) = [(x − 1)(x − 3)]/[2x(x+1)] I think the vertical asymptotes are 0 and -1 and the horizontal asymptote is 1/2 please correct me if I am...
lim (1/n+1 + 1/n+2 + ......... 1/2n) is equal to n→∞ a) 0 b) 1 c) 2 d) loge2 the answer is loge2 , bt howi cant understand, it should be...
Calculate lim x-> -1 (x-1)^4 (-4x^2) I've got the answer which is -64, but I'm asked to state what Limit Laws were used, and not just one but all which were used: I got the Power and Product...
for lim lim x3-3x+4 x→2 illiustrate defenition of 2 by finding values of s that correspond to ε=0.2 and...
lim √(1+t) - √(1-t) x→0 t √(1+t) - √(1-t)= √(1+0)...
Determine whether the function is continuous or discontinous. Justify your reasoning. If discontinuous, identify points of discontinuity. 2-X^2...
lim h(t), where h(t)= (cos(t)-1)/(t^2). note that h(t) is even, that is, h(t)=h(-t). t--0 t= (+-)0.002 (+-)0.0001 (+-)0.00005 (+-)0...
limit as n goes to infinity Σ [i=1, n] (cosx1/x1) Δx, [3Π,4Π] answer is ∫[3Π,4Π] ... ? Need help understanding!
The acceleration due to gravity, g; is given by g = GM / r2 ; where M is the mass of the earth, r is the distance from the center of the earth, and G is the universal gravitational...
Calculate: lim x->0 (sin4x2)/(x2) I've seen an explanation of the problem and it says the answer is 4. I just don't understand what you're supposed to do after u-substitution...