Questions on asymptotes
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- mathtasksproj
Using your knowledge of functions, limits and asymptotes, anwer the following questions. You can use the applet below to visualise functions and check your answers.
Give an example of a function with vertical asymptote at x=3
Give an example of a function f(x) with vertical asymptote at x=0, and exists
Let , give an example of a function with asymptotes at and .
Give a counter-example to the claim that trigonometric functions do not have vertical asymptotes.
Give a counter example to the claim that all functions only have horizontal asymptotes at y=0.