What is the limit of sin (1/x) when x tends to zero?, Mathematics

As x tends to zero the value of 1/x tends to either ∞ or -∞. In this situation we will not be sure about the exact value of 1/x. As a result we will not be sure about the exact/approaching value of sin(1/x). We cant say anything about the value of sine function unless we know the angle and in this question we are not sure about the angle as at infinity it can take any value. We will be sure that the value of sin(1/x) will lie in [-1, 1] but not sure about a unique value. As in limits, it exists only when we get a unique value. Therefore we will say that the limit does not exist.

Posted Date: 3/11/2013 7:22:25 AM | Location : United States





Limit sin(1/x) when x tends to 0 is not defined

Can be proved simply by multiplying and dividing by x then xsin(1/x)/x becomes 1/x as xsin(1/x)or for that matter sin(1/x)/1/x = 1 and limit reduces to 1/x which doesnt exist

Also the proof can be that when x approcashes 0 from positive side 1/x tends to positive infinty and limit (right0 becomes sin(infinity) but when from left side 1/x tends to negative infinty so limit becomes -sin(infinit) which both can never b equal.

so limit doesnt exist

Posted by | Posted Date: 3/11/2013 7:23:14 AM


Related Discussions:- What is the limit of sin (1/x) when x tends to zero?, Assignment Help, Ask Question on What is the limit of sin (1/x) when x tends to zero?, Get Answer, Expert's Help, What is the limit of sin (1/x) when x tends to zero? Discussions

Write discussion on What is the limit of sin (1/x) when x tends to zero?
Your posts are moderated
Related Questions
Express area of a square with sides of length 5ab as a monomial.

Lindy has 48 chocolate chip cookies and 64 vanilla wafers. How many bags can lindy fill if she puts the chocolate chip cookies and the vanilla wafers in the same bags? She plans

Differentiate following functions.                   g ( x ) = 3sec ( x ) -10 cot ( x ) Solution : There actually isn't a whole lot to this problem.  We'll just differentia

First, larger the number (ignoring any minus signs) the steeper the line.  Thus, we can use the slope to tell us something regarding just how steep a line is. Next, if the slope

report on shares and dovidend using newspaper

A compound fraction is a fraction that has other fractions inside its numerator or denominator. Here's an example: While compound fractions can look really hairy, they're r


Calculate the edges in an undirected graph along with two vertices of degree 7, four vertices of degree 5, and the remaining four vertices of degree are 6? Ans: Total degree of

a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k

hellow my name is isa soo what is your name?? i love the name experts mind so what is 8000+98800+600+935=what i do not know so can you tell me thank you oh thir is another one wha