Question

In: Math

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

(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)

Expert Solution

a)

Apply l hospital rule

= 0

=5(1)

=5

b)

C)

Period of cos(at) is 2pi/a

So period =

=

Period =

=

milcah answered 2 years ago

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