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
8.8k views
in Limit, continuity and differentiability by (52.6k points)

Given f(x) = (ex - cos2x - x)/x2 for x ∈ R - {0} g(x) = {(f({x}),  for n < x < n + 1/2), (f(1 - {x}), for n + 1/2 ≤ x /, n + 1)(5/2,  otherwise) n ∈ I {(where {x}denotes), (fractional part), (function) then g(x) is

(A) discontinuous at all integral values of x only 

(B) continuous everywhere except for x = 0

(C) discontinuous at x = n + 1/2; n ∈ I and at some x ∈ I

(D) continuous everywhere

1 Answer

+1 vote
by (54.9k points)
selected by
 
Best answer

Answer is (D) continuous everywhere

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.

...