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Vijay posted an Question
November 23, 2020 • 13:46 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Limit of 2 variable function.

please provide me the step-by-step solution to the problem shown in the attachment

2 Answer(s) Answer Now
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    Deepak singh 1 best-answer

    see attached limit not exist and hence not continuous

    cropped1322083216064485205.jpg
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    in the second step how do you know that the limit is only for r and not for theta?

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    path dependent on r not theta , so we take limit on r not theta

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    refer this video for detail https://youtu.be/kOrpvPYgeE8

  • comment-profile-img>
    Sonu saini Best Answer

    See attachment. limit doesn't exist Any doubts u can ask.

    cropped8289206982177170923.jpg
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    wow, 😮 I got it now.

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    one doubt do we always choose a straight path?

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    no

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    you can choose all these path which going to origin

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    like y=x2

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