Doubtnut Promotions Sticky

If f(x) is continuous at x=0, where f(x)=4x2x+1+11cosx, for x0, then f(0)=

A

(2log2)2

B

2(log2)2

C

(log2)2

D

(log2)22

Video Solution
Doubtnut Promotions Banner
Text Solution
Verified by Experts

The correct Answer is:B

|
Answer

Step by step video, text & image solution for If f(x) is continuous at x=0, where f(x)=(4^(x)-2^(x+1)+1)/(1-cos x), for x!=0, then f(0)= by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams.

Updated on:21/07/2023

Related Playlists


Similar Practice Problems

  • Question 1 - Select One

    If f(x) is continuous at x=0, where f(x)=(5x2x)xcos5xcos3x, for x0, then f(0)=

    A14log(25)
    B14log(25)
    C18log(25)
    D18log(25)
  • Question 1 - Select One

    If f(x) is continuous at x=0, where f(x)=10x+7x14x5x1cos4x, for x0, then f(0)=

    A14(log2)log(57)
    B18(log2)log(57)
    C14(log2)log(75)
    DNone of these
  • Question 1 - Select One

    If f(x) is continuous at x=0, where f(x)=(4sinx1)2xlog(1+2x), for x0, then f(0)=

    A14(log4)2
    B12(log4)2
    C2(log4)2
    D2(log2)2
  • Question 1 - Select One

    If f(x) is continuous at x=0, where f(x)=4xex6x1, for x0, then f(0)=

    Alog41log6
    B1log4log6
    Clog22log6
    D2log2log6
  • Question 1 - Select One

    If f(x) is continuous at x=0, where f(x)=(3sinx1)2xlog(1x), for x0, then f(0)=

    A(log3)2
    Blog 9
    C12 log 3
    Dlog 3
  • Question 1 - Select One

    If f(x) is continuous at x=0, where f(x)=(e2x1)tanxxsinx, for x0, then f(0)=

    A12
    B12
    C2
    D-2
  • Question 1 - Select One

    If f(x) is continuous at x=0, where f(x)=(e3x1)sinxx2, for x0, then f(0)=

    Aπ180
    Bπ60
    Cπ90
    D3
  • Question 1 - Select One

    If f(x)= is continuous at x=0, where f(x)=(1cos2x)(3+cosx)xtan4x, for x0, then f(0)=

    A2
    B12
    C4
    D3
  • Question 1 - Select One

    If f(x)= is continuous at x=0, where f(x)=(1cos2x)(3+cosx)xtan4x, for x0, then f(0)=

    A2
    B12
    C4
    DNone of these
  • Question 1 - Select One

    If f(x) is continuous at x=0, where f(x)=log(2+x)log(2x)tanx, for x0, then f(0)=

    A14
    B12
    C2
    D1