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Answer :

`a to s; b to r; c to s; d to p`Solution :

a. `f(x)=e^(cos^(4)pix+x-[x]+cos^(2)px)` <br> `cos^(2)pi x " and " cos^(4)pi x` have period 1.<br> `x-[x]={x}` has period 1. <br> Then the period of `f(x)` is 1 <br> b. `f(x)=cos 2pi {2x}+sin 2pi{2x}` <br> The period of {2x} is 1/2. Then the period of `f(x)` is 1/2. <br> c. Clearly, `tan pi[x]=0 AA x in R` and the period of `sin 3pi{x}` is equal 1. <br> d. `f(x)=3x-[3x+a]-b=3x+a-[3x+a]-(a+b)` <br> `={3x+a}-(a+b)` <br> Thus, the period of `f(x)` is 1/3.**Revision of limits**

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