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Infinite Limits : In this section we will see limits whose value is infinity or minus infinity.
The primary thing we have to probably do here is to define just what we mean while we say that a limit contain a value of infinity or minus infinity.
Definition
We say
If we make f(x) arbitrarily large for all x adequately close to x=a, from both of the sides, without in fact letting x = a .
if we can make f(x) arbitrarily large & negative for all x adequately close to x=a, from both of the sides, without letting x= a actually.
These definitions can be modified appropriately for the one-sided limits as well.
Let's start off with a typical example showing infinite limits.
A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put i
-2-1
discuss the infinite series
Extrema : Note as well that while we say an "open interval around x = c " we mean that we can discover some interval ( a, b ) , not involving the endpoints, such that a Also,
A man invests rs.10400 in 6%shares at rs.104 and rs.11440 in 10.4% shares at rs.143.How much income would he get in all?
Determine or find out the domain of the subsequent function. r → (t) = {cos t, ln (4- t) , √(t+1)} Solution The first component is described for all t's. The second com
The following (artificial) data record the length of stay (in days) spent on a psychiatric ward for 28 consecutive patients who have been sectioned under the mental health act, cla
nC6:n-3C3=91:4
If the areas of the circular bases of a frustum of a cone are 4cm 2 and 9cm 2 respectively and the height of the frustum is 12cm. What is the volume of the frustum. (Ans:44cm 2 )
simplify the following: 3^5/2-3^1/2
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