Home
Class 12
MATHS
The limit of {(1)/(x)sqrt(1+x) - sqrt(1+...

The limit of `{(1)/(x)sqrt(1+x) - sqrt(1+(1)/(x^(2))}` as `x rarr 0`

A

does not exist

B

is equal to `(1)/(2)`

C

is equal to 0

D

is equal to 1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CALCULUS

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2014)|2 Videos

  • CALCULUS

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2016)|2 Videos

  • CALCULUS

    CHHAYA PUBLICATION|Exercise WBHS Archive (2016)|7 Videos

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos

  • CIRCLE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (E. Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

The limit of {1/xsqrt(1+x)-sqrt(1+1/x^2} as xrarr0

The limit of x sin((1)/(e^(x))) as x rarr 0

int_(0)^(1)(dx)/(sqrt(x+1)-sqrt(x))

lim_(x to 0) (pi^(x)-1)/(sqrt(1+x)-1)

The value of int_(0)^(1)(xdx)/((x+sqrt(1-x^(2)))sqrt(1-x^(2))) is equal to -

Evaluate the limit: lim_(x->1)((2x-3)(sqrt(x)-1))/(2x^2)

Show that the derivative of (sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(2))) w.r.t. sqrt(1-x^(4)) is (sqrt(1-x^(4))-1)/(x^(6)) .

underset (xto0) lim(sqrt(1-x^2)-sqrt(1+x^2))/x^2

When x = (sqrt3)/(2) , the value of ((1 + x)/(1 + sqrt1 + x) + (1- x)/(1 - sqrt1 - x)) is____

Let f(x)=(sqrt(x-2 sqrt(x-1)))/(sqrt(x-1)-1) , then -