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

sec22x – csc22x
sec22x csc22x

Non existent

-3
3
1
-1
0

–1
-1/3
0
1/3
1

ln 2
ln 8
ln 16
4
Non-existent

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

0
1
e/2
e
Non-existent

1
e
1/e
2
0

1/11
9/11
-1/11
3/11
2/3

None of the above

3/4t
3/2t
3t
6t
3/2

ƒ is continuous for all real numbers.
ƒ has a minimum at x = 0.
ƒ is increasing for x > 0.
ƒ’(x) exists for all x.
ƒ”(x) is negative for x > 0.

½
2
0
Does not exist

–2
4
1
3
2

-2/3
-1
4/3
2/3
–2

1
2
-2
-1
0

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

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.

Tags:

AP Calculus BC Test 3 Limit Right hand limit Left hand limit continuity Derivatives of functions series

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