If f(x)={sin(2π)(x−[x])x5) is continuous at x=5,a,b∈R then ([.] denotes the greatest integer function) (A) a=10825,b=56 (B) a=136,b=2917 (C) a=21,b=3625 (D) a=10023,b=56

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If {f{{({x})}}}={{array}{cc} {{{({}{{2}})}}}{({x}-{[{x}]})}&{x

Question

If $f (x) = {sin (\frac{π}{2}) (x - [x]) x 5)$ is continuous at $x = 5, a, b \in R$ then ([.] denotes the greatest integer function) (A) $a = \frac{25}{108}, b = \frac{6}{5}$ (B) $a = \frac{6}{13}, b = \frac{17}{29}$ (C) $a = \frac{1}{2}, b = \frac{25}{36}$ (D) $a = \frac{23}{100}, b = \frac{6}{5}$

Views: 667 students

Found 4 tutors discussing this question

Sofia Discussed

f (x) = {sin (\frac{π}{2}) (x - [x]) x 5)

is continuous at

x = 5, a, b \in R

then ([.] denotes the greatest integer function) (A)

a = \frac{25}{108}, b = \frac{6}{5}

(B)

a = \frac{6}{13}, b = \frac{17}{29}

(C)

a = \frac{1}{2}, b = \frac{25}{36}

(D)

a = \frac{23}{100}, b = \frac{6}{5}

7 mins ago

Discuss this question LIVE

7 mins ago

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text

f (x) = {sin (\frac{π}{2}) (x - [x]) x 5)

is continuous at

x = 5, a, b \in R

then ([.] denotes the greatest integer function) (A)

a = \frac{25}{108}, b = \frac{6}{5}

(B)

a = \frac{6}{13}, b = \frac{17}{29}

(C)

a = \frac{1}{2}, b = \frac{25}{36}

(D)

a = \frac{23}{100}, b = \frac{6}{5}