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Exercise 2.4

Choose a random x and compute ( exp ⁡ x ) * ( exp ⁡ ( − x ) ) with a spreadsheet. What do you get? How about ( exp ⁡ 3 x ) * ( exp ⁡ ( − x ) ) 3 ?

Solution for ( exp ⁡ x ) * ( exp ⁡ ( − x ) ) :

My random choices are 1 and 3. For 1, I get exp ⁡ 1 = 2.718281828 , exp ⁡ ( − 1 ) = 0.367879441 , and product 1. For x = 3 , I get exp ⁡ 3 = 20.08553692 , exp ⁡ ( − 3 ) = 0.049787068 and the same product.

Solution for ( exp ⁡ 3 x ) * ( exp ⁡ ( − x ) ) 3 :

I find, for x = 1 , the answer 1. You try something.

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