Q. 434.7( 3 Votes )

For what value of k is the following function continuous at x = 2?


Answer :

Given:


For f(x) is continuous at x = 2 & f(2) = k


If f(x) to be continuous at x = 2,we have to show, f(2)=f(2) + =f(2)


LHL = f(2) =





(5–4×0)


5 ...(1)


RHL = f(2) + =





(5 – 3 × 0)


5 ...(2)


Since , f(x) is continuous at x = 2 & f(2) = k


k = 5


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Connection B/w Continuity & DifferentiabilityConnection B/w Continuity & DifferentiabilityConnection B/w Continuity & Differentiability59 mins
Problems Based on L-Hospital Rule (Quiz)Problems Based on L-Hospital Rule (Quiz)Problems Based on L-Hospital Rule (Quiz)0 mins
When does a Maxima or Minima occur?When does a Maxima or Minima occur?When does a Maxima or Minima occur?48 mins
Interactive Quiz on LimitsInteractive Quiz on LimitsInteractive Quiz on Limits67 mins
Differentiability by using first principleDifferentiability by using first principleDifferentiability by using first principle59 mins
Super 10 Question: Check Your Knowledge of Maxima & Minima (Quiz)Super 10 Question: Check Your Knowledge of Maxima & Minima (Quiz)Super 10 Question: Check Your Knowledge of Maxima & Minima (Quiz)45 mins
Interactive Quiz | Differentiability by using first principleInteractive Quiz | Differentiability by using first principleInteractive Quiz | Differentiability by using first principle59 mins
Maxima & Minima in an intervalMaxima & Minima in an intervalMaxima & Minima in an interval60 mins
Interactive Quiz | Types of discontinuity of functionsInteractive Quiz | Types of discontinuity of functionsInteractive Quiz | Types of discontinuity of functions58 mins
Questions Based on Maxima & MinimaQuestions Based on Maxima & MinimaQuestions Based on Maxima & Minima57 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses