Unformatted text preview: c. continuous at x = 0, not continuous at x = 1, and bounded. d. diﬀerentiable everywhere except at x =1, continuous, and unbounded. 2. Is f ( x ) = sin( x ) a bounded function? If so, ﬁnd the smallest M . 3. Is s ( t ) = 1 / (1 + t 2 ) a bounded function? If so, ﬁnd the smallest M . 4. Is v ( u ) = 2 ln  u  a bounded function? If so, ﬁnd the smallest M . 5. Consider the function h ( x ) = 2 x3 , if x < 1 , if x ≥ 1. Show that it is continuous at the point x = 0. Is h a continuous function? 6. Approximate a root of f = x 34 x 2 + 2 x + 2 to one decimal place. 7. Approximate a root of f = x 4 + x 35 x + 1 to one decimal place....
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 Fall '07
 JonathanRogawski
 Math, Calculus, Continuous function, DECIMAL PLACE, b. differentiable

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