Jump of a Discontinuity
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Let f(x)=x⋅[x2], for −10<x<10, where [t] denotes the greatest integer function. Then the number of points of discontinuity of f is equal to
Find the function in which the function having a jump discontinuity among the following.
f(x)={x2+1 ∀ x ∈ R−{10}15 x=10
f(x)=xx−1
f(x)={x2+1 ∀ x ∈ (−∞, 5)x2−1 ∀ x ∈ [5, ∞]
f(x)=xx2−1
- g(x) is continuous for all x∈[−2, 2].
- g(x) is not differentiable at three points in [−2, 2].
- g(x) attains the least value equal to 0 for x∈[−2, 2].
- g(x) attains the greatest value equal to 9 for x∈[−2, 2].
Find the function in which the function having a jump discontinuity among the following.
f(x)={x2+1 ∀ x ∈ R−{10}15 x=10
f(x)={x2+1 ∀ x ∈ (−∞, 5)x2−1 ∀ x ∈ [5, ∞]
f(x)=xx−1
f(x)=xx2−1
f(x) =
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/27394/content_vik21.png)
- 2
if f(x) is discontinuous at x = c, and have a jump at x = c then the value of jump is -
- undefined
Find the function in which the function having a jump discontinuity among the following.
f(x)={x2+1 ∀ x ∈ R−{10}15 x=10
f(x)={x2+1 ∀ x ∈ (−∞, 5)x2−1 ∀ x ∈ [5, ∞]
f(x)=xx−1
f(x)=xx2−1
if f(x) is discontinuous at x = c, and have a jump at x = c then the value of jump is -