What is the maximum value of #(3-cosx)/(1+cosx)# for #0< x < (2pi)#?

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What is the maximum value of #(3-cosx)/(1+cosx)# for #0< x < (2pi)#?

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Answer 1 · 2016-12-11T22:57:34

#x_{max}=+infty#
#x_{min}=0#

Explanation:

The function has a vertical asymptote in #x=pi# and its maximum is when the denominator has the lowest value just for #x=+pi#, instead is minimum when the denominator is the biggest i.e. for #x=0# and #x=2pi#

The same conclusion could have been deduced by deriving the function and studying the sign of the first derivative!

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What is the maximum value of #(3-cosx)/(1+cosx)# for #0< x < (2pi)#?

1 Answer

Explanation:

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