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ID: 2962998 • Letter: #

Question

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Explanation / Answer

1.)

a.) {a| a is not 0 }

b.) no such a exists

c.) {a| a is not 0 or 1}

d.) {a| a is not 0 or 1}

e.) {a| a is not 1,1/2,1/3,1/4,....}


2.)

f.) x is continuous at 0 hence limit exists at 0

g.) sin(1/x) is not continuous at 0 hence limit does not exist at 0

h.) x+sin(1/x) is not continuous at 0 hence limit does not exist at 0

i.) xsin(1/x) is continuous at 0 hence limit exists at 0

j.) 1/x is not continuous at 0 hence limit does not exist at 0

k.) 1/xsin(1/x) is not continuous at 0 hence limit does not exist at 0