AP Calculus BC Test : Limits and continuity, derivatives of functions, series


0
1
2
4
Non-existent
Which of the following functions are continuous at x = 0? I. ln (1+x) II. ex III. ln(ex - 1)
I only
II only
I and II only
II and III only
I, II and III

II only
III only
I and III
II and III
None of these

0
4/9
-2
2/9
1

3/2
3
1
1/2
4

0
2
3
Does not exist
1

0
Non-existent


3/10
1/10
1/7
1/2
1/5

e
1
0

0.369
0.585
2.400
2.426
3.426

e3tcos(6t)

3/7
1
6/7
2
5/7

–3 ( x ( 3
–3 < x < 3
–1 < x ( 5
–1 ( x ( 5
–1 ( x < 5

1/2
-1/2
–1
–2
Non-existent

1
3/2
2
7/2
17/6

I only
II only
I and II only
II and III only
I, II and III

log 9
0
3log3

-1
0
1
-2
None of these

–1 < x ( 3
–4 ( x ( 4
–2 < x < 4
2 ( x < 5
-2< x < 6
Description:

This test contains twenty questions on Limits and continuity, derivatives of functions, series. Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number. Wherever appeared, lnx represents the natural logarithm of x with base e. Sometimes, the options may not contain exact numerical value of an answer. In that case, select best approximation to the numerical value you got. After examining the form of the choices, decide the best of the choices given.

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