Consider the function if and if Choose the correct option
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0 marksMathematicsLimits, continuity and differentiabilityContinuity and discontinuitiesEasyabout 1 min
JNU SIS 2019 Question 14: Limits, continuity and differentiability
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Consider the function f(x) = 3x - 5 if x ≠ 1 and f(x) = 2 if x = 1 Choose the correct option (A) f(x) is discontinuous at x=1 since it is not defined at x=1 (B) f(x) is continuous at x=1 since the left hand limit is equal to the right hand limit at x=1 (C) f(x) is continuous at x=1 since it is defined at x=1 (D) f(x) is discontinuous at x=1 since lim_(x → 1) f(x) ≠ f(1)
Also written as: Consider the function f(x) = 3x - 5 if x != 1 and f(x) = 2 if x = 1 Choose the correct option
Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.
What this question tests
This question is on Continuity and discontinuities, part of Limits, continuity and differentiability in Mathematics.
When a function is continuous at a point and what kinds of breaks occur.
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Question from the JNU SIS 2019 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.