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- True of False: If limit f(x)=2 as x--> -infinity, then the graph of f has a horizontal asymptote at y=2The graph of the function f(x)=secx is given above for the interval x∈[0,2π] ONLY.Determine the one-sided limit. Then indicate the equation of the vertical asymptote.Find limx→(π2)+ f(x)=This indicates the equation of a vertical asymptote is x=x= .Find limx→(3π2)− f(x)=This indicates the equation of a vertical asymptote is x=lim f(x) x--> 3, where f(x) = {2(x+1), if x < 3 or 4, if x = 3, or x^2 - 1, if x > 3} piecewise.they have the limit as 8? why?
- limit as x approaches infinity of (1-x)/(3n+5)The graph of the function f(x)=tanx is given above for the interval x∈[0,2π] ONLY.Determine the one-sided limit. Then indicate the equation of the vertical asymptote.Find limx→(π2)+ f(x)=This indicates the equation of a vertical asymptote is x=Find limx→(3π2)− f(x)=This indicates the equation of a vertical asymptote is x=Create a Piecewise function that: a) has infinitely many vertical asymptotes and infinitely many x-intercepts on the interval (-7,-6) b) has infinitely many vertical asymptotes and no x-intercept on (0,7) c) has infinitely many x-intercepts and no vertical asymptotes on (70,700) d) is continuous and greater than 10^100 on [-6, 0], and e) is continuous and less than -100! on [7,70] You must express the function and all its zeros and asymptotes algebraically. What software or technology would you use to graph such a function? Explain.
- The graph of the function f(x)=tanxf(x)=tanx is given above for the interval x∈[0,2π]x∈[0,2π] ONLY.Determine the one-sided limit. Then indicate the equation of the vertical asymptote. Need help with each box, thank you!given that lim f(x)=9 lim g(x)=-2 lim f(x)=0 x--->1. x--->1. x--->1 find the limits, if they exist- determine the limit lim_{h->0}[(x+h)2-x^2]/h by treating x as a constant. - determine the lim_{x->0} cos(2x)/x -determine the limit_{x->0} sin(2x^2)/xtan(4x) thanks...
- State the domain and the vertical asymptote of the function. g(x)=ln(5−x) Enter the domain in interval notation. To enter ∞, type infinity. Domain:Determine the infinite limit. limit as x approaches 3 from the right side of ln(x2-9)(a)Find the equation of the tangent line to the curve f(x)=6x^2-5x+3 at the point where x=2. (Use the Basic Differentation Rules to find f'(x). That is, do not use the limit definition (b)Find the equation of the tangent line to thefunction: f(x) = 2x-1/x+2 when x=3