Removable Discontinuity:Aremovable discontinuityis a point on the graph that is undefined or does not fit the rest of the graph. There is a gap at that location when you are looking at the graph. When graphed, it is marked by an open circle on the graph at the point where the graph i...
The function below has a removable discontinuity atx=2x=2. Redefine the function so that itbecomes continuousatx=2x=2. f(x)=x2−2xx2−4f(x)=x2−2xx2−4 Solution The graph of the function is shown below for reference.
Which of the discontinuities are removable ? {eq}f(x) = \frac{1}{x^2 + 1 } {/eq} Continuity: A function is said to be continuous at a number in its domain if the function is defined at that number, the limit of the function at that nu...
At what interval is the functionF(x)=1x2−9continuous? Discontinuity: Discontinuity on the graph of a function is of various types: Jump discontinuity, infinite discontinuity, and removable discontinuity. The Infinite discontinuity occurs when the one-sided limits at a point are also infinite. ...
This fluid seeps into any defects such as cracks or porosity before a developer is applied which allows the penetrant liquid to seep upwards and create a visible indication of the flaw. Liquid penetrant tests can be conducted using solvent removable penetrants, water washable penetrants or post-...
Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable? f(x) = - 2x + 3, x less than 1, x^2, x greater equal 1 f(x) = c x^2 + 7x if x less th...
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2.Mathwords: Removable Discontinuity,Available here. 3.“Explicit Formulas for Arithmetic Sequences.” Khan Academy, Khan Academy,Available here. Image Courtesy: 1.”Random mathematical formulæ illustrating the field of pure mathematics” By Wallpoper (Public Domain) viaCommons Wikimedia...
Which function has a removable discontinuity? (a) f(x) = 5x / (x - x^2). (b) p(x) = (x-1) / (x^2 - x - 2). (c) h(x) = (x^2 - x + 2) / (x+1). (d) g(x) = 2x-1 / x. For the piecewise linear function, find the following. f(x) = \left\{\begin...