Home
Class 12
MATHS
Evaluate: ("lim")(xvec0xvec0)(y^2+sinx)/...

Evaluate: `("lim")_(xvec0xvec0)(y^2+sinx)/(x^2+siny^2)` where `(x , y)vec(0,)` along the curve `x=y^2`

Text Solution

Verified by Experts

The correct Answer is:
2
`underset(yto0)underset(xto0)lim(y^(2)+sin x)/(x^(2)+siny^(2))=underset(xto0)lim(x+sinx)/(x^(2)+sinx)=underset(xto0)lim(1+(sinx)/(x))/(x+(sinx)/(x))=2`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE|Exercise Exercise 2.6|9 Videos

  • LIMITS

    CENGAGE|Exercise Exercise 2.7|7 Videos

  • LIMITS

    CENGAGE|Exercise Exercise 2.4|5 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")_(xvec0) (sinx-2)/(cosx-1)

Evaluate: ("lim")_(xvec0)(1-cos2x)/(x^2)

Evaluate: ("lim")_(xvec0)(cot2x-cos e c2x)/x

Evaluate : ("lim")_(xvec2)(x^2-5x+6)/(x^2-4)

Evaluate: ("lim")_(xvec0)(1+x)^(os e cx c)

Evaluate: ("lim")_(xvec0)1/xsin^(-1)((2x)/(1+x^2))

("lim")_(xvec0)(5sinx-7sin2x+3sin3x)/(x^2sinx)

Evaluate: ("lim")_(xvec-2^+) (x^2-1)/(2x+4)

Evaluate the limit: ("lim")_(xvec0)(sina x)/(sinb x)

Evaluate: ("lim")_(xvec0)(1-cosm x)/(1-cosn x)