Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with ffor x = a and is continuous at a. (If an answer does not exist, enter DNE.)(a) f(x)=x²-1 a = 1x-1O The discontinuity is removable.O The discontinuity is not removable.g(x) =x³ - x² - 6xx - 3The discontinuity is removable.O The discontinuity is not removable.(b) f(x) =g(x) =a = 3(c) f(x) = [sin x], a = π (Recall thatO The discontinuity is removable.O The discontinuity is not removable.g(x) =[h(x)] means the largest integer that is less than or equal to h(x).)

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Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x = a and is continuous at a. (If an answer does not exist, enter DNE.) (a) f(x) = ) = x² = 1₁ O The discontinuity is removable. O The discontinuity is not removable. g(x) = (b) f(x) = x³ = x² = 6x₁, - a = 3 x - 3 O The discontinuity is removable. O The discontinuity is not removable. g(x) = _(c) __f(x) = [sin x], a = 1 g(x) = a = π (Recall that O The discontinuity is removable. O The discontinuity is not removable. [h(x)] means the largest integer that is less than or equal to h(x).)

Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x = a and is continuous at a. (If an answer does not exist, enter DNE.) (a) f(x) = ) = x² = 1₁ O The discontinuity is removable. O The discontinuity is not removable. g(x) = (b) f(x) = x³ = x² = 6x₁, - a = 3 x - 3 O The discontinuity is removable. O The discontinuity is not removable. g(x) = _(c) __f(x) = [sin x], a = 1 g(x) = a = π (Recall that O The discontinuity is removable. O The discontinuity is not removable. [h(x)] means the largest integer that is less than or equal to h(x).)

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.15P

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