Home
Class 11
MATHS
Evaluate lim(xrarr0)((1+x)^(n)-1)/(x)...

Evaluate `lim_(xrarr0)((1+x)^(n)-1)/(x)`

Text Solution

AI Generated Solution

To evaluate the limit \[ \lim_{x \to 0} \frac{(1+x)^n - 1}{x} \] we can follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27A|40 Videos

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27B|72 Videos

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27C|15 Videos

  • HYPERBOLA

    RS AGGARWAL|Exercise EXERCISE 24|23 Videos

  • LINEAR INEQUATIONS (IN ONE VARIABLE)

    RS AGGARWAL|Exercise EXERCISE 6B|12 Videos

Similar Questions

Explore conceptually related problems

Evalvate lim_(xrarr0)((1+x)^(4)-1)/(x).

Evaluate lim_(xrarr0)((1+x)^(6)-1)/((1+x)^(5)-1).

lim_(xrarr0) ((x+1)^(5)-1)/(x)

Evaluate lim_(xrarr0) (1+x)^(1/x)

Evaluate : lim_(xrarr0 )(e ^(sinx)-1)/(x)

Evaluate lim_(xrarr0)((3^(2x)-1)/(2^(3x)-1)).

Evaluate: (i)lim_(xrarr0)((e^(-x)-1)/(x))(ii)lim_(xrarr0)((e^(x)-e^(-x))/(x))(iii)lim_(xrarr0)((e^(x)+e^(-x)-2)/(x^(2)))

Evaluate lim_(xrarr0)((3^(x)-2^(3x))/(x)).

Evalute lim_(xrarr0)((e^(3x)-1)/(x)).

Prove that lim_(xrarr0) ((1+x)^(n) - 1)/(x) = n .