Q1. Use epsilon-delta definition to prove 

Limit as x-->-3 (x^2-9)/(x+3)= -6

Ans. |x+3|<|x+3|

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 :D ) ... anyways .. please if you find your answers different from mine .. Kindly do notify so we can discuss which answer are correct. Thank you!! 

Comments   

 

+1 #1 muhammed ahmed 2012-11-02 22:09

wonderful work

Quote

 

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