Home
Class 12
MATHS
Evaluate lim(xto0) (e^(x)-1-x)/(x^(2))....

Evaluate `lim_(xto0) (e^(x)-1-x)/(x^(2)).`

Text Solution

Verified by Experts

The correct Answer is:
`1//2`
`underset(xto0)lim(e^(x)-1-x)/(x^(2))=underset(xto0)lim((1+(x)/(1!)+(x^(2))/(2!)+...)-1-x)/(x^(2))=1/2`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE|Exercise Exercise 2.5|12 Videos

  • LIMITS

    CENGAGE|Exercise Exercise 2.6|9 Videos

  • LIMITS

    CENGAGE|Exercise Exercise 2.3|15 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xto0) (e^(x^(2))-cosx)/(x^(2))

Evaluate lim_(xto0) (e^(x)+e^(-x)-2)/(x^(2))

Evaluate lim_(xto0)(sqrt(1+x)-1)/(x)

Evaluate lim_(xto0) (sinx-x)/(x^(3)).

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

Evaluate lim_(xto0) (e-(1+x)^(1//x))/(x) .

Evaluate lim_(xto0) (x(e^(x)-1))/(1-cosx) is equal to

Evaluate lim_(xto0) (cos^(-1)((1-x^(2))/(1+x^(2))))/(sin^(-1)x).

Evaluate lim_(xto0) sin(picos^(2)x)/(x^(2)).

Evalaute lim_(xto0) (x2^(x)-x)/(1-cosx)