Can you help me answer question 2?
Vertical assymptotes are the lines parallel to y-axis, i.e thier equation will be of the for x = a. This would happen when at f(a) the function would tend towards infinity.
For horizontal assymptotes, these are the lines of the form y = a, where a is the limiting value of thee function as x changes .
Since this is a continuous function with no break points, we will check at infinity and negative infinity. We find that the function rises infinitely at x=infinity. But at negative infinity we see that the exponent dies and we get a limiting value. Hence we find the assypmtote :
y = -2
IT DOES NOT HAVE A VERTICAL ASSYMPTOTE. (or you can say it is x = infinity)
Inverse tangent is the inverse of a peiodic function. Hence it has many assypmtotes because it exists periodically over many intervals. For the most common interval, i.e between plus and minus pi/2 we see that the assymptotes are as follows.
Be carefull that it is a periodic functio...
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