5. lim (* V1- t² dt) = X-1 (a) 3 (b) 2 (c) 1 (d) 0 6. If f(x) and g(x) are continuous functions at a point x = c, then f(x) (а) g(x) is a continuous function at x c f(x) (b) g(x) is a differentiable function at x c (c) f(x). g(x) is a continuous function at x c (d) f(x). g(x) is a differentiable function at x c x+1 7. lim x-1 x-1 (a) 1 (b) -1 (c) +0o (d) -0o x2-4 8. x+2 %3D (a) x- 2 (b) x + 2 (c) x2 -2 (d) Can't be simplified in general 9. If y = f(x) is a continuous function at a point x = c in its domain, then (a) y = f(x) is a differentiable function at x = c (b) lim f(x) may not exist in general (c) f(c) may be undefined in general (d) None of the above

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. lim ( VI- 2² dt) =
2x-1
(а) 3
(b) 2
(c) 1
(d) 0
6. If f(x) and g(x) are continuous functions at a point x = c, then
(а)
g(x)
f(x)
is a continuous function at x = c
f(x)
(b)
g(x)
is a differentiable function at x c
(c) f(x). g(x) is a continuous function at x c
(d) f(x). g(x) is a differentiable function at x = c
x+1
7. lim-
x-1 x-1|
(a) 1
(b) -1
(c) +o
(d) -
x2-4
8.
x+2
(а) х — 2
(b) x+ 2
(c) x2 -2
(d) Can't be simplified in general
9. If y = f(x) is a continuous function at a point x = c in its domain, then
(a) y = f(x) is a differentiable function at x = c
(b) lim f (x) may not exist in general
(c) f(c) may be undefined in general
(d) None of the above
Transcribed Image Text:5. lim ( VI- 2² dt) = 2x-1 (а) 3 (b) 2 (c) 1 (d) 0 6. If f(x) and g(x) are continuous functions at a point x = c, then (а) g(x) f(x) is a continuous function at x = c f(x) (b) g(x) is a differentiable function at x c (c) f(x). g(x) is a continuous function at x c (d) f(x). g(x) is a differentiable function at x = c x+1 7. lim- x-1 x-1| (a) 1 (b) -1 (c) +o (d) - x2-4 8. x+2 (а) х — 2 (b) x+ 2 (c) x2 -2 (d) Can't be simplified in general 9. If y = f(x) is a continuous function at a point x = c in its domain, then (a) y = f(x) is a differentiable function at x = c (b) lim f (x) may not exist in general (c) f(c) may be undefined in general (d) None of the above
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