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Questions › DSE › DSE 2017 › Q23
2 marks, −0.666666666666667Mathematics › Limits, continuity and differentiability › Continuity and discontinuitiesEasyabout 2 min

DSE 2017 Question 23: Limits, continuity and differentiability

Consider f(x)=ln⁡xf(x)=\ln xf(x)=lnx for 0<x<10<x<10<x<1 and f(x)=ax2+bf(x)=ax^2+bf(x)=ax2+b for 1≤x<∞1\le x<\infty1≤x<∞, with f(2)=3f(2)=3f(2)=3. Function fff is continuous if

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Consider f(x)=ln x for 0<x<1 and f(x)=ax²+b for 1≤ x<∞, with f(2)=3. Function f is continuous if (A) a=2 and b=-1 (B) a=-1 and b=2 (C) a=-1 and b=1 (D) a=1 and b=-1

Also written as: Consider f(x)=ln x for 0<x<1 and f(x)=ax^2+b for 1<= x< inf, with f(2)=3. Function f is continuous if

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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