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Limits At Infinity, Part II : In this section we desire to take a look at some other kinds of functions that frequently show up in limits at infinity. The functions we'll be discussed at here are natural logarithms, exponentials, and inverse tangents.
Let's begin by taking a look at some of very basic examples involving exponential functions.
Example: Evaluate following limits.
Solution
The major point of this example was to point out that if the exponent of an exponential goes towards infinity in the limit then the exponential function will also go towards infinity in the limit. Similarly, if the exponent goes to minus infinity in the limit then the exponential will go to zero in the limit.
If a+b+c = 3a , then cotB/2 cotC/2 is equal to
Ellipsoid Now here is the general equation of an ellipsoid. X 2 / a 2 + y 2 /b 2 + z 2 /c 2 = 1 Here is a diagram of a typical ellipsoid. If a = b = c afterw
application
y=mx+c
A survey of 400 of recently qualified chartered Accountant revealed that 112 joined industry, 120 stated practice & 160 joined the firms of practicing chartered accountants as paid
A number of the form x + iy, where x and y are real and natural numbers and is called as a complex number. It is normally given by z. i.e. z = x + iy, x is called as the real part
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