For what values of x is g continuous? g(x)=⎩⎨⎧0xx=0 if x is rational if x is irrational x∈Rx=1x=−1 -/0.71 Points] S
Posted: Thu Jul 14, 2022 4:21 pm
- For What Values Of X Is G Continuous G X 0xx 0 If X Is Rational If X Is Irrational X Rx 1x 1 0 71 Points S 1 (89.8 KiB) Viewed 41 times
If f is continuous on (−∞,∞), what can you say about its graph? (Select all that apply.) The graph of f has a hole. The graph of f has a jump. The graph of f has a vertical asymptote. none of these
Sketch the graph of a function f that is defined on 1R and continuous except for the stated discontinuities. jump discontinuity at 9 , removable discontinuity at 7
Use continuity to evaluate the limit. θ→3π/2limsin(tan(cos(θ))) SCALCET9 2.5.026. Consider the following function. f(x)=x−8x2−17x+72 (a) Explain why f has a removable discontinuity at x=8. (Select all that apply.) f(8) and x→8limf(x) are finite, but are not equal. f(8) is undefined. x→8limf(x) does not exists. x→8limf(x) is finite. none of the above (b) Redefine f(8) so that f is continuous at x=8 (and thus the discontinuity is "removed"). f(8)=
(a) f(x)=x−1xn−1,a=1 The discontinuity is removable. The discontinuity is nat removable. g(x)= (b) f(x)=x−7x3−x2−42x,a=7 The discontinuity is removable. The discontinuity is not removable. g(x)= (c) f(x)=[sin(x)], a =x (Recall that [n(x)] means the largest integer that is less than or equal to n(x).) The discontinuity is remavable. The discontinuity is not removable. g(x)=