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Q1:
Determine l i m π₯ β β π₯ + 3 οΌ 1 + 7 π₯ + 9 ο .
Q2:
Determine l i m π₯ β β β 6 π₯ β 5 οΌ 7 π₯ + 5 7 π₯ + 2 ο .
Q3:
Determine l i m π β β 8 π π₯ οΌ 1 β 2 π ο .
Q4:
Determine l i m π₯ β 0 ( π₯ + 1 ) 1 1 1 0 π₯ .
Q5:
Determine l i m t a n π₯ β 0 3 π₯ οΉ β 4 π₯ + 1 ο c o t 3 .
Q6:
Determine l i m π₯ β β π₯ β 3 οΌ π₯ + 4 π₯ β 4 ο .
Q7:
Determine l i m π₯ β β 5 π₯ οΌ 1 β 7 π₯ ο .
Q8:
Determine l i m π₯ β β π₯ οΌ 3 π₯ β 1 1 3 π₯ + 1 1 ο .
Q9:
Consider the binomial expansion for .
Which of the following expressions is its fourth term?
What is the limit of the th term as tends to infinity?
Hence, write in summation (or sigma) notation a series which is equal to the limit of as tends to infinity.
What is the value of this series?
Q10:
Determine l i m π₯ β β π₯ + 2 οΌ 1 + 6 π₯ + 4 ο .
Q11:
Determine l i m π₯ β β π₯ + 2 οΌ 1 + 5 π₯ + 5 ο .
Q12:
Determine l i m π₯ β β π₯ β 3 οΌ 1 + 7 π₯ β 1 ο .
Q13:
Determine l i m π₯ β β π₯ + 3 οΌ 1 + 9 π₯ + 9 ο .
Q14:
Determine l i m π₯ β β 5 π₯ + 4 οΌ 7 π₯ + 2 7 π₯ β 4 ο .
Q15:
Determine l i m π₯ β β π₯ + 5 οΌ π₯ + 4 π₯ β 9 ο .
Q16:
Determine l i m π₯ β β 2 π₯ β 7 οΌ 2 π₯ + 3 2 π₯ + 1 ο .
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