हिंदी

Examine the continuity of f(x) = x3 + 2x2 − x − 2 at x = –2. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Examine the continuity of f(x) = x3 + 2x2 − x − 2 at x = –2.

योग

उत्तर

f(x) = x3 + 2x2 − x − 2
Here f(x) is a polynomial function and hence
it is continuous for all x ∈ R.
∴ f(x) is continuous at x = −2

shaalaa.com
Continuity in the Domain of the Function
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Continuity - Exercise 8.1 [पृष्ठ १११]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 8 Continuity
Exercise 8.1 | Q 1. (i) | पृष्ठ १११

संबंधित प्रश्न

Examine the continuity of f(x) = `(x^2 - 9)/(x - 3)` on R.


If `f(x) = (24^x - 8^x - 3^x + 1)/(12^x - 4^x - 3^x + 1)` for x ≠ 0

            = k,                               for x = 0
is continuous at x = 0, find k.


Discuss the continuity of the following function at the point(s) or in the interval indicated against them.

`f(x) = (3^x + 3^-x - 2)/x^2`  for x ≠ 0.

= (log3)2                         for x = 0 at x = 0


If `f(x) = (5^x + 5^-x - 2)/(x^2)`  for x ≠ 0

          = k                            for x = 0
is continuous at x = 0, find k


For what values of a and b is the function

f(x) = ax + 2b + 18    for x ≤ 0

= x2 + 3a − b            for 0 < x ≤ 2

= 8x – 2                     for x > 2,

continuous for every x ?


For what values of a and b is the function

`f(x) = (x^2 - 4)/(x - 2)`      for x < 2

= ax2 − bx + 3         for 2 ≤ x < 3
= 2x – a + b             for x ≥ 3
continuous in its domain.


f(x) = `(sqrt(x + 3) - 2)/(x^3 - 1)`  for x ≠ 1

= 2    for x = 1, at x = 1.


Find a and b if the following function is continuous at the point indicated against them.

`f(x) = x^2 + a`    , for x ≥ 0

= `2sqrt(x^2 + 1) + b` , for x < 0 and
f(1) = 2 is continuous at x = 0


The domain of the function cos-1 (log2(x2 + 5x + 8)) is


Domain of the function f(x) = `sqrt(1 + 4x - x^2)` is ______


Domain of the function f(x) = sin-1 (1 + 3x + 2x2) is ______.


If the function f(x) = `(2x - sin^-1x)/(2x + tan^-1x)`, (x ≠ 0) is continuous at each point of its domain, then the value of f(0) is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×