Home
Class 12
MATHS
Let f(x){:{(1+sinx", "xlt0),(x^(2)-x+1",...

Let `f(x){:{(1+sinx", "xlt0),(x^(2)-x+1", "xge0):}` Then Check its continuity at x=0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise MAXIMA AND MINIMA EXERCISE 1|1 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|19 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise For Session 5|8 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Let f(x)={{:(-x^(2)","," for "xlt0),(x^(2)+8",",xge0):} . Discuss the continuity of f(x) at x = 0.

Prove that the function f(x) = {:{((sinx)/x , x < 0),(x^2 +1, x ge0):} is continuous.

Let f(x) = {:{((1-cosax)/(xsinx), x ne 0),(1/2, if x = 0):} If f is continuous at x=0, find a.

Let f(x) = {:{((3x+4tanx)/x, x ne0),(k, x = 0):} then f is continuous at x = 0 for

Let f(x)={(xsin(1/x), x ne 0),(k, x=0):} find k if f is continuous at x=0,

If the function f is defined by f(x)={(7" , "xne0),(a-1" , "x=0):} and f is continuous at x=0 then value of 'a' is _____

If function defined by f(x) = {{:((sin 3x)/(2x)"," ,x != 0),(k + 1",", x = 0):} is continuous at x = 0 , then value of k is

Show that the function f(x) = {{:(2 + x"," , "if " x ge 0),(1",", "if " x lt 0):} is not continuous at x = 0

Let f(x) = {{:((a(1-x sin x)+b cos x + 5)/(x^(2))",",x lt 0),(3",",x = 0),([1 + ((cx + dx^(3))/(x^(2)))]^(1//x)",",x gt 0):} If f is continuous at x = 0, then (a + b + c + d) is

ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Single Option Correct Type Questions)
  1. If f:[1,10]->[1,10] is a non-decreasing function and g:[1,10]->[1,10] ...

    Text Solution

    |

  2. Find the value of n , if ((n - 1)!)/(n!) = 1/9

    Text Solution

    |

  3. Let f(x){:{(1+sinx", "xlt0),(x^(2)-x+1", "xge0):} Then Check its conti...

    Text Solution

    |

  4. If m and n are positive integers and f(x) = int1^x(t-a )^(2n) (t-b)^(2...

    Text Solution

    |

  5. Find the intervals in which the following function is increasing and d...

    Text Solution

    |

  6. If f is twice differentiable such that f''(x)=-f(x), f'(x)=g(x), h'(x...

    Text Solution

    |

  7. If f(x) ={:{(2x^2+2/x^2",",0ltabsxle2),(3",",x gt2):}then

    Text Solution

    |

  8. Evaluate (n!)/((n - r)!) , when n = 4 , r = 3

    Text Solution

    |

  9. sinx+cosx=y^2-y+a has no value of x for any value of y if a belongs to...

    Text Solution

    |

  10. Evaluate (n!)/((n-r)!) , when n = 8 , r = 6

    Text Solution

    |

  11. Suppose that f(x) is a quadratic expresson positive for all real xdot ...

    Text Solution

    |

  12. Let f(x)=min{1,cos x,1-sinx}, -pi le x le pi, Then, f(x) is

    Text Solution

    |

  13. Evaluate (5!)/((5 - 2)!)

    Text Solution

    |

  14. Maximum number of real solution for the equation ax^(n)+x^(2)+bx+c=0...

    Text Solution

    |

  15. Maximum number area of rectangle whose two points are are x=x(0),x=p...

    Text Solution

    |

  16. f(x)=-1+kx+k neither touches nor intecepts the curve f(x)= Iog x, then...

    Text Solution

    |

  17. f(x) is a polynomial of degree 4 with real coefficients such that f(x)...

    Text Solution

    |

  18. A curve whose concavity is directly proportional to the logarithm of i...

    Text Solution

    |

  19. f(x) = 4 tan x-tan^(2)x+tan^(3)x,xnenpi+(pi)/(2)

    Text Solution

    |

  20. f (x)= {{:(3+|x-k|"," , x le k),(a ^(2) -2 + ( sin (x -k))/((x-k))"," ...

    Text Solution

    |