Assignment # 1
MTH301 (Spring 2012)
Total marks: 10
Lecture # 1 to 6
Due Date: April 10, 2012
DON’T MISS THESE Important instructions:
Only Question # 2 is graded. Remaining questions are for your practice only
therefore, you do not need to send the solution of non-graded questions.
All students are directed to use the font and style of text as is used in this
document.
This is an individual assignment, not group assignment, so keep in mind that you
are supposed to submit your own, self made & different assignment even if you
discuss the questions with your class fellows. All similar assignments (even with
some meaningless modifications) will be awarded zero marks and no excuse will
be accepted. This is your responsibility to keep your assignment safe from
others.
Solve the assignment on MS word document and upload your word (.doc) files only
Question # 1. Find the domain and range of
1
() 3
fx
x
Question # 2. Evaluate the limit along the paths
(a) the y-axis (x = 0),
(b) the x-axis ( y = 0 ),
(c) the line y = mx for all value of 0m
.
23
22
(,) (0,0)
lim
xy
x
y
x
y
Question # 3. Determine whether the function is continuous at the stated point
22
22
2(, ) (0,
(, )
0(,)(0,0)
xy if x y
fxy xy
if x y
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