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Find the no. of points of discontinuity of f(x) = (1+cos5x) / (1-cos4x)

Find the no. of points of discontinuity of  f(x) = (1+cos5x) / (1-cos4x)

Grade:12

2 Answers

bibhash jha
15 Points
14 years ago

since cos function is continuous throughout the R ,

we need to check the denominator which must not be zero .

 

1-cos4x=0 => x=npi/2  , n=integer

 

so domain = R- { npi/2 | n is an integer }

Askiitian.Expert Rajat
24 Points
14 years ago

Hi

 

the function would be discontinuous at the points that it is not defined

Those points are :

x=npi/2

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