EVALUATING LIMITS AT INFINITY WORKSHEET

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The minimum value of sine function is 1 and its maximum value is 1.

So, the minimum value of sinx is -1 and its maximum value is 1.

-1 ≤ sinx ≤ 1 

or 

sinx ∈ [-1, 1]

When x approaches positive infinity, the value of sinx will oscillate from -1 to 1.

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The minimum value of cosine function is 1 and its maximum value is 1.

So, the minimum value of cos(2x) is -1 and its maximum value is 1.

-1 ≤ cos(2x) ≤ 1 

or 

cos(2x) ∈ [-1, 1]

When x approaches positive infinity, the value of cos(2x) will oscillate from -1 to 1.

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