Home
Class 12
MATHS
Evaluate underset(x to 0)(lim) (1 - x^(n...

Evaluate `underset(x to 0)(lim) (1 - x^(n) - 1)/(x)`

Text Solution

Verified by Experts

The correct Answer is:
`-n`
`underset(x to 0)(lim) ((1 - x)^(n) - 1)/(1 + x - 1)`
Let `1 - x = y`. So as `x to 0, y to 1`
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - A|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - B|34 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Example|41 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

Similar Questions

Explore conceptually related problems

Evaluate underset(x to oo) lim ([x])/(2x)

Evaluate : underset( x to 0 ) lim (x) ^((1)/(log x))

f(x)= |{:(cos x,,x,,1),(2sin x ,,x^(2),,2x),(tanx ,, x,,1):}| then find the value of underset(xto 0)(" lim ") (f(x))/(x)

Evaluate: underset(xrarr0)lim((1-x)^n-1)/(x)

Evaluate underset(x to -oo)lim(sqrt(x^(2)+3x+1))/(2x+4)

Evaluate underset(xto0)lim(1-cos(1-cosx))/(x^(4)).

Evaluate : underset( x to prop) lim (2x^(2) + 7x+ 5)/( 4x^(2) +3x- 1 )

Evaluate underset(xto1)lim(a^(x-1)-1)/(sinpix).

Evaluate underset(xto1)"lim"(x^(4)-sqrt(x))/(sqrt(x)-1) .

Evaluate: underset(x rarr 0)("lim") ((729)^x-(243)^x-(81)^x+9^x+3^x-1)/(x^3)