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True/false statements about limits of sequences
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Multiple response question (3 correct out of 6) re properties of convergent and divergent sequences. Selection of questions from a pool.
True/false statements about limits of sequences
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Multiple response question (4 correct out of 8) covering properties of convergent and divergent sequences and boundedness of sets. Selection of questions from a pool.
When does a sequence get within $d$ of its limit?
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

$x_n=\frac{an^2+b}{cn^2+d}$ . Find the least integer $N$ such that $\left|x_n -\frac{a}{c}\right| < 10 ^{-r},\;n\geq N$ , $2\leq r \leq 6$ . Determine whether the sequence is increasing, decreasing or neither.
Find point when a sequence becomes strictly decreasing
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

$x_n=n^k t^n$ where $k$ is a positive integer and $t$ a real number with $0 < t<1$ . Find the smallest integer $N$ such that $(m+1)^k t^{m+1} \leq m^k t^m$ for all $m \geq N$ .
True/false statements about Riemann integration,
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Multiple response question (2 correct out of 4) covering properties of Riemann integration. Selection of questions from a pool.
True/false statements about limits of sequences
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Multiple response question (4 correct out of 8) covering properties of convergent and divergent sequences and boundedness of sets. Selection of questions from a pool.
Find limit of a sequence
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Let $x_n=\frac{an+b}{cn+d},\;\;n=1,\;2\ldots$ . Find $\lim_{x \to\infty} x_n=L$ and find least $N$ such that $|x_n-L| \le 10^{-r},\;n \geq N,\;r \in \{2,\;3,\;4\}$ .
When is a sequence within d of its limit?
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

$x_n=\frac{an+b}{cn+d}$ . Find the least integer $N$ such that $\left|x_n -\frac{a}{c}\right| \le 10 ^{-r},\;n\geq N$ , $2\leq r \leq 6$ .
True/false statements about continuity and differentiability,
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Multiple response question (2 correct out of 4) covering properties of continuity and differentiability. Selection of questions from a pool.

Can choose true and false for each option. Also in one test run the second choice was incorrectly entered, rest correct, but the feedback indicates that the third was wrong.
True/false statements about properties of continuity and limits,
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Multiple response question (2 correct out of 4) covering properties of continuity and limits of functions. Selection of questions from a pool.

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