We have a limit of the function as x approaches infinity from the function f(x)=sinx.
We intuitively feel that the above limit does not exist. x’s are getting bigger and bigger, and the sine values are constantly fluctuating between -1 and 1. But how can we formally demonstrate and prove this?
Homogeneous systems of linear equations are systems in which all intercepts are equal to 0.
I will show you how to solve such systems of equations using a row of matrices.
We usually treat the limits of a sine function as: x tends to zero then{sinx} /x=1.
Question: what about cosine of x? Does it have any “typical” border?
The relationship between horizontal and oblique asymptotes is as follows: horizontal asymptotes are special oblique asymptotes. Therefore, every horizontal asymptote is an oblique asymptote, but not every oblique is horizontal.
This can and should be used to shorten the counting of function asymptotes.
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