Homework Solutions

Solutions to homework in 2.3

#2 2^1/2

#22 ¹/₁₂

#26 8

#38 ^-1/₂

#46 -1

#50 (a) 0
(b) DNE
(c) DNE

#52 (a) 4
(b) 4
(c) 4

#58 (a) 1
(b) 0

#70 (a) The limit does not exist because it is growing infitely large. (So, according to Einstein's theory of relativity, the faster you travel, the more you weigh. If you could reach the speed of light, your mass would be infinite. Neat!)
(b) If v > c then there is a problem in that we would be required to evaluate the square root of a negative number, which is impossible. Therefore V cannot approach c from the right side. (So, according to Einstein's theory of relativity, it is impossible for an object with mass to exceed the speed of light.)

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#2	2^1/2
#22	¹/₁₂
#26	8
#38	^-1/₂
#46	-1
#50	(a) 0 (b) DNE (c) DNE
#52	(a) 4 (b) 4 (c) 4
#58	(a) 1 (b) 0
#70	(a) The limit does not exist because it is growing infitely large. (So, according to Einstein's theory of relativity, the faster you travel, the more you weigh. If you could reach the speed of light, your mass would be infinite. Neat!) (b) If v > c then there is a problem in that we would be required to evaluate the square root of a negative number, which is impossible. Therefore V cannot approach c from the right side. (So, according to Einstein's theory of relativity, it is impossible for an object with mass to exceed the speed of light.)