If f(x)={(asin(2x2)+cos(b3x))ab/x2,x=0e3,x=0 is continuous at x=0∀b∈R then minimum value of a is −1/8 b. −1/4 c. −1/2 d. 0

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If {f{{({x})}}}={{({{{{({2}{x}^{{2}})}}}}{{a}}+{{{({{{3}{x}}}{

Question

If $f (x) = {(\frac{sin ( 2 x ^{2} )}{a} + cos (\frac{3 x}{b}))^{a} b / x^{2}, x \neq = 0 e^{3}, x = 0$ is continuous at $x = 0 \forall b \in R$ then minimum value of $a$ is $- 1 / 8$ b. $- 1 / 4$ c. $- 1 / 2$ d. 0

Views: 680 students

Found 4 tutors discussing this question

Sofia Discussed

f (x) = {(\frac{sin ( 2 x ^{2} )}{a} + cos (\frac{3 x}{b}))^{a} b / x^{2}, x \neq = 0 e^{3}, x = 0

is continuous at

x = 0 \forall b \in R

then minimum value of

a

- 1 / 8

- 1 / 4

- 1 / 2

d. 0

14 mins ago

Discuss this question LIVE

14 mins ago

Question Text

f (x) = {(\frac{sin ( 2 x ^{2} )}{a} + cos (\frac{3 x}{b}))^{a} b / x^{2}, x \neq = 0 e^{3}, x = 0

is continuous at

x = 0 \forall b \in R

then minimum value of

a

- 1 / 8

- 1 / 4

- 1 / 2

d. 0