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Thread: Assignment #2 MTH101 (Fall 2010)

  1. #1
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    Plurk 32 Assignment #2 MTH101 (Fall 2010)

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    Maximum Marks: 25
    Due Date: Nov 22, 2010
    DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
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    Question 1)
    Use definition (definition 2.6.3) to prove that

    [SIZE=12pt]Question 2:
    [/SIZE]
    Find the points of discontinuity of the given function
    [SIZE=12pt]
    [/SIZE]

    [SIZE=12pt]Question 3:
    [/SIZE]

    Find a non-zero value for the constant “k” so that

    Will be continuous at x=0

    Solution will be provided soon.


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  2. #2
    w8ing.............

  3. #3

  4. #4
    Sigh!!!!!!!!!!!!!!!wht good to w8 ?

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    wait na. ab itni bhi kia jaldi hai. app bhi kuch share kar dia karo

  6. #6
    hhmmmmm acha khud he kuch karti hun

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    han aur share bhi karana ta kay kuch dusray students ka bhi faida ho jay.

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    Idea solution check it out.
    Q1. Use epsilon-delta definition to prove
    Limit as x-->-3 (x^2-9)/(x+3)= -6

    Ans. |x+3|<epsilon iff 0<|x+3|<delta

    Q2. Find the points of discontinuity of the given function
    f(x)=(x+3)/|x^2+3x|

    Ans. Points of discontinuity are 0 and -3 in both the cases (when absolute sign is removed we get two cases. 1. (x^2+3x) and 2. -(x^2+3x) .. am I right??)

    Q3. Find a non-zero value for the constant “k” so that

    f(x)= tan(kx)/x if x<0
    3x+2k^2 if x>0
    will be continuous at x=0

    Ans. k=1/2

    Note: Please donot consider this answers 100% true as there may be some mistake from my side (I'm not a cheetah in math ) ... anyways .. please if you find your answers different from mine .. Kindly do notify so we can discuss which answer are correct. Thank you!!

  9. #9
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    Question 1 and 2 are ok as i have got the same answer. How you solved the third question please share the method

  10. #10
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    oh dear you can do it by your self. you from where?

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