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  2. Infinite Limits and Vertical Asymptotes - Calculus - Socratic

    socratic.org/.../infinite-limits-and-vertical-asymptotes

    The vertical asymptote is a place where the function is undefined and the limit of the function does not exist. This is because as 1 approaches the asymptote, even small shifts in the x -value lead to arbitrarily large fluctuations in the value of the function. On the graph of a function f (x), a vertical asymptote occurs at a point P = (x0,y0 ...

  3. Asymptotes - Precalculus - Socratic

    socratic.org/.../functions-defined-and-notation/asymptotes

    1. is the same graph as y = x - 4, except it has a hole at x = - 2. 2. is the same as the graph of except it has a hole at x = 4. The vertical asymptote is x = - 2. To Find Horizontal Asymptotes: The graph has a horizontal asymptote at y = 0 if the degree of the denominator is greater than the degree of the numerator. Example: In.

  4. How do you find a vertical asymptote for y = sec(x)? - Socratic

    socratic.org/questions/how-do-you-find-a-vertical...

    1 Answer. The vertical asymptotes of y = secx are. x = (2n + 1)π 2, where n is any integer, which look like this (in red). Let us look at some details. y = secx = 1 cosx. In order to have a vertical asymptote, the (one-sided) limit has to go to either ∞ or −∞, which happens when the denominator becomes zero there. So, by solving.

  5. How do you find vertical asymptote of tangent? - Socratic

    socratic.org/questions/how-do-you-find-vertical-asymptote...

    1 Answer. I assume that you are asking about the tangent function, so tanθ. The vertical asymptotes occur at the NPV's: θ = π 2 + nπ,n ∈ Z. Recall that tan has an identity: tanθ = y x = sinθ cosθ. This means that we will have NPV's when cosθ = 0, that is, the denominator equals 0. cosθ = 0 when θ = π 2 and θ = 3π 2 for the ...

  6. How do you find vertical asymptote of exponential function?

    socratic.org/questions/how-do-you-find-vertical-asymptote...

    Explanation: Generally, the exponential function y = ax has no vertical asymptote as its domain is all real numbers (meaning there are no x for which it would not exist); rather, it has the horizontal asymptote y = 0 as lim x→− ∞ ax = 0. Answer link. The exponential function y=a^x generally has no vertical asymptotes, only horizontal ones.

  7. How do you find the vertical asymptote of a logarithmic function?

    socratic.org/questions/how-do-you-find-the-vertical...

    The vertical asymptote is (are) at the zero (s) of the argument and at points where the argument increases without bound (goes to oo). f (x) = log_b ("argument") has vertical aymptotes at "argument" = 0 Example f (x) =ln (x^2-3x-4). has vertical asymptotes x=4 and x=-1 graph {y=ln (x^2-3x-4) [-5.18, 8.87, -4.09, 2.934]} Example f (x) =ln (1/x ...

  8. How do you find the asymptotes of a rational function?

    socratic.org/questions/how-do-you-find-the-asymptotes-of-a...

    1 Answer. To Find Vertical Asymptotes: In order to find the vertical asymptotes of a rational function, you need to have the function in factored form. You also will need to find the zeros of the function. For example, the factored function [Math Processing Error] has zeros at x = - 2, x = - 3 and x = 4. *If the numerator and denominator have ...

  9. What is the vertical asymptote of ln(x)? - Socratic

    socratic.org/questions/what-is-the-vertical-asymptote-of-ln-x

    Since lim_{x to 0^+}ln x=-infty, x=0 is the vertical asymptote. 15343 views around the world

  10. How do you find the vertical asymptotes of f(x) = tan(πx)? -...

    socratic.org/questions/how-do-you-find-the-vertical...

    Thus, the vertical asymptotes are x = k + 1 2,k ∈ Z. You can see more clearly in this graph: graph { (y-tan (pix))=0 [-10, 10, -5, 5]} Answer link. The vertical asymptotes occur whenever x=k+1/2,kinZZ. The vertical asymptotes of the tangent function and the values of x for which it is undefined. We know that tan (theta) is undefined whenever ...

  11. How do you find the vertical asymptote of a rational function?

    socratic.org/questions/how-do-you-find-the-vertical...

    Reduce the fraction and check the remaining zeros of the new denominator. Step 3. For each remaining zero of the denominator, ther ts a vertical; asymptote at x = the zero. Answer link. Please see below. Step 1, Find the zeros of the denominator. Step 2 Test to see whether any of the zeros pf the denominator are also zeros of the numerator.