Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
163 views
in Continuity and Differentiability by (31.3k points)
closed by

Discuss the continuity of the following functions at the points given against them. If the function is discontinuous, determine whether the discontinuity is removable. In that case, redefine the function, so that it becomes continuous.

\(f(x) = \frac{(\sqrt{x + 3}-2)}{(x^3 - 1)},\) for x ≠ 1

f(x) = ((√x + 3) - 2)/(x3 - 1), for x ≠ 1

= 5, for x = 1; at x = 1

1 Answer

+1 vote
by (35.0k points)
selected by
 
Best answer

f(x) = ((√x + 3) - 2)/(x3 - 1)

\(\therefore\) f has removable discontinuity at x = 1

This discontinuity can be removed by redefining the function as:

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...