Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Can someone explain Which of the following is not an indeterminate form when x approaches zero?

Which of the following is not an indeterminate form when x approaches zero?

  • Option 1)

    (1+x)^{1/x}

  • Option 2)

    (\cos x)^{1/x^{2}}

  • Option 3)

    (\tan (\pi /4+x))^{1/x}

  • Option 4)

    (1+x)^{x+2}

 

Answers (1)

best_answer

As we have learned

Indeterminate forms -

The\:form

\frac{0}{0},\:\frac{\infty}{\infty },0X\infty ,1^{\infty },0^{\infty} ,\infty ^{0} \:are \:known\:as\:indeterminate\:form\:means

they\:do\:not\:exist\:directly

-

 

(A), (B) and( C)  all are of form 1^{\infty }  , while (D) is directly known approching 1^{2 }  i.e 1  

 

 

 

 

 


Option 1)

(1+x)^{1/x}

Option 2)

(\cos x)^{1/x^{2}}

Option 3)

(\tan (\pi /4+x))^{1/x}

Option 4)

(1+x)^{x+2}

Posted by

Himanshu

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Latest Question