SMN3013 BEGINNING CALCULUSSemester 1 Session 2013/2014

Assignment 1

Instructions:

• Work in a group of four (4) to five (5) people.

• Each group must work independently.

• Include the following information in the front cover of your assignment:

—COURSE CODE AND NAME: SMN3013 BEGINNING CALCULUS

—TITLE: ASSIGNMENT 1

—GROUP: A, C or D

—NAMES AND METRIC NUMBERS OF GROUP MEMBERS:

• Give your references. Points may be deducted if no references attached.

• Complete set of solutions must be submitted ONLINE in MSWord or PDF format by FRIDAY,OCTOBER 12, 2013. (For handwritten assignment, you may scan and send it in PDF format).

Problems:

1. For the functions below,

(I) f (x) =sinx

x.

(II) f (x) =ex − 1x

do the following:

(a) Make a table of values of f (x) for

x = 0.1, 0.01, 0.001, 0.0001

−0.1,−0.01,−0.001,−0.0001

(b) Make a conjecture about the value of limx→0

f (x) .

(c) Graph the function to see if it is consistent with your answers to parts (a) and (b) .

2. Choosing several suitable values for x, investigate limx→0

(1 + x)1/x numerically. What is your conclusion?

- End of Assignment 1 -

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