(a) Find the limit of the following functions: -lim as x approaches 0 (1-cos3(x)/x) -lim as x...

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(a) Find the limit of the following functions:

-lim as x approaches 0 (1-cos3(x)/x)

-lim as x approaches 0 (sin(x)/2x)

-lim as theta approaches 0 (tan (5theta)/theta)

(b) Find the derivative of the following functions:

-f(x) = cos (3x2-2x)

-f(x) = cos3 (x2/1-x)

(c) Determine the period of the following functions:

-f(x) = 3 cos(x/2)

-f(x)= 21+ 7 sin(2x+3)

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