Home
Class 12
MATHS
Show that lim(xto0)(e^(1//x)-1)/(e^(1//x...

Show that `lim_(xto0)(e^(1//x)-1)/(e^(1//x)+1)` does not exist.

A

Statement 1 is true, Statement 2 is true, Statement 2 is correct explanation for statement 1.

B

Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for statement 1.

C

Statement 1 is true, Statement 2 is false

D

Statement 1 is false, Statement 2 is true

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|1 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|38 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

Show that underset(xto0)lim(e^(1//x)-1)/(e^(1//x)+1) does not exist.

lim_(xto0)(e^(3x)-1)/(x) is :

Slove lim_(xto0)((1+x)^(1//x)-e)/x

Find lim_(xto0+)(cot^(-1)(1/x))/x

lim_(xto0) (e^(tanx)-e^x)/(tanx-x)=

The polynomial of least degree such that lim_(xto0)(1+(x^(2)+f(x))/(x^(2)))^(1//x)=e^(2) is

Evaluate lim_(xto0){tan((pi)/4+x)}^(1/x)

Evaluate lim_(xto oo)e^(x)sin (d//e^(x)) .

Prove that : lim_(x rarr 0)(x)/(|x|) does not exist.

lim_(xto1)(sqrt(1-cos2(x-1)))/(x-1) ,