The function $f (x) = [x],$ where $[x]$ denotes greatest integer function, is continuous at

4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1.5

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $1.5$
The greatest integer function is continuous at all points in $R$ except integers.
$∴ f$ is continuous at $x = 1.5$

Suggest Corrections

Similar questions

The function f(x) = [x], where [x] denotes greatest integer function is continuous at ………

Q. The function f(x) = [x] is continuous at
(a) 4
(b) –2
(c) 1
(d) 1.5

Q. The function

f (x) = [x]

where

[x]

the greatest integer function is continuous at

Q. The function

f (x) = [x]

, where

[x]

denotes greatest integer function is continuous at ___

Let $f (x) = \frac{t a n x}{x}, t h e n l o g_{e} {lim}_{x \to 0} ([f (x)] + x^{2})^{\frac{1}{{f (x)}}}$ is equal to, (where [.] denotes greatest integer function and { } fractional part)

Join BYJU'S Learning Program

The function f(x)=[x], where [x] denotes greatest integer function, is continuous at

The correct option is D 1.5 The greatest integer function is continuous at all points in R except integers. ∴f is continuous at x=1.5

The function $f (x) = [x],$ where $[x]$ denotes greatest integer function, is continuous at

The correct option is D $1.5$
The greatest integer function is continuous at all points in $R$ except integers.
$∴ f$ is continuous at $x = 1.5$