FBQ1: A convergent sequence has only ________________ limit(s)
Answer: One
FBQ2: If a sequence {Xn} is convergent then it is________________
Answer: Bounded
FBQ3: A sequence {(-1)n} is__________________________
FBQ5: The sequence converges to ________________
Answer: Bounded
FBQ4: A sequence is ________________
Answer: convergent
Answer: 0.5
FBQ7: Every Cauchy sequence is ________________.
FBQ6: is ________________
Answer: 0.5
Answer: Bounded
FBQ9: Let {Xn}be a convergent sequence. is ________________
FBQ8: A sequence of real number {Xn} is Cauchy if and only if ________________
Answer: Convergent
Answer: X
FBQ11: If a sequence is increasing, then it may converge to its ________________
FBQ10: If a sequence is decreasing, then it may converge to its ________________
Answer: Infimum
Answer: Supremum
FBQ12: A product of two convergent sequences is________________
Answer: Null
Answer: Convergent
FBQ13: Let is ________________(Ans to 3 decimal point)
Answer: 1.618
FBQ14: A sequence of real numbers that converges to zero is known as ________________sequence
Answer: False
FBQ15: If a sequence does not have a limit, it is also called an ________________sequence
Answer: Oscillating
FBQ16: Every set of real numbers has a minimum_____________ (True or False)
FBQ17: Every set of real numbers has a maximum_____________ (True or False)
FBQ20: There exists a set of real numbers with a supremum but no maximum_____________ (True or False)
Answer: False
FBQ18: Every set of real numbers which is bounded above has a maximum_____________ (True or False)
Answer: False
FBQ19: Every set of real numbers which is bounded below has a minimum_____________ (True or False)
Answer: False
Answer: True
FBQ25: A number which is neither positive nor negative is
FBQ21: The is _______
Answer: 2
FBQ22: " + " is ___________ operation on
Answer: binary operation
FBQ23: If a real number is not rational then it is an _______
Answer: Integer
FBQ24: If a real number is not rational then it is an __________ number
Answer: Irrational
FBQ29: is an example of ___________ numbers
Answer: 0
FBQ26: The supremum is also called the ____ upper bound
Answer: Least
FBQ27: The harmonic series ____
Answer: Diverges
FBQ28: A monotone sequence of real numbers is properly divergent if and only if it is _______
Answer: Unbounded
Answer: Irrational
FBQ34: Give the next 3 terms of the sequence 0,1,1,2,3,5,8,………,____
FBQ30: Concept of the divisibility only exists in set of __________
Answer: Integers
FBQ31: The limit of n+1n√n is
Answer: 0
FBQ32: A convergent sequence has only ______________ limit(s)
Answer: 1
FBQ33: Every convergent sequence has ___________one limit
Answer: 7
Answer: 13, 21, 34
FBQ37: A sequence in which the consecutive terms have opposite signs is called________________ sequence
FBQ35: Two Sets A and B are said to be _______ if and only if they have the same elements but possibly with different listings.
Answer: Equal
FBQ36: A sequence which does not converge to some real number is said to be________________
Answer: Divergent
Answer: Alternating
FBQ38:
Answer: x<=y
FBQ39: If is an ________________
Answer: Interval
FBQ44: The range of is________________
FBQ40: A sequence {Xn} is convergent to the limit if and only if all of its…________________.converge to the same limit ___________
Answer: Terms
FBQ41: The range of is________________
Answer: (0,3]
FBQ42: A continuous real-valued function defined on a closed and bounded interval ________________ be bounded
Answer: Must
FBQ43: The range of is________________
Answer: (-1/2, 1/2)
Answer: [-1/2, ½]
FBQ45:
Answer: 1
FBQ46:
Answer: 0.5
FBQ47:
Answer: 0.5
MCQ13:
FBQ48: Given the set
Answer: 2
FBQ49: what is the value of a____________
Answer: 0
FBQ50:
Answer: Complete
MCQ1: Define a sequence Then the values of are
Answer:
MCQ2:
Answer:
MCQ3:
Answer:
MCQ4: Define
Answer: 0
MCQ5:
Answer: r
MCQ6: Consider the function
Answer: 1
MCQ7: Consider the function. Then
Answer: 0
MCQ8:
Answer: None of the options
MCQ9:
Answer: 2
MCQ10:
Answer:
MCQ11:
Answer: 2
MCQ12:
Answer: 1
Answer:
MCQ24: Solve the inequality Express your answer in interval notation.
MCQ14: The inequality
Answer:
MCQ15: Solve the equation
Answer:
MCQ16: Find all which satisfy
Answer:
MCQ17: Solve the inequality Express your answer in interval notation
Answer:
MCQ18: Solve the equation
Answer:
MCQ19:
Answer:
MCQ20:
Answer:
MCQ21: Solve the inequality Express your answer in interval notation.
Answer:
MCQ22: Find all which satisfy
Answer:
MCQ23: Solve the inequality Express your answer in interval notation.
Answer:
MCQ43:
Answer:
MCQ25: Solve the equation
Answer:
MCQ26:
Answer: 3/4
MCQ27: Let The domain of is the set of all real numbers except
Answer:
MCQ28:
Answer:
MCQ29: Consider the function
Answer:
MCQ30: Consider the function is
Answer:
MCQ31:
Answer:
MCQ32:
Answer:
MCQ33:
Answer:
MCQ34:
Answer:
MCQ35:
Answer:
MCQ36: Let
Answer: 2-32
MCQ37:
Answer: -4
MCQ38:
Answer: 6
MCQ39:
Answer: -1
MCQ40:
Answer: 1
MCQ41: Let
Answer: 3
MCQ42: Let
Answer: 5
Answer: n
Answer: 13
MCQ44:
Answer: Does not exist
MCQ45:
Answer: 1
MCQ46:
Answer: 2
MCQ47:
Answer: Does not exist
MCQ48:
Answer: -2, 3
MCQ49: An example of a positive convergent sequence
Answer:
MCQ50: An example of a positive divergent sequence
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