and for ,

what can be said about its convergence? You should choose the most pertinent consequence.

,

what can be said about the convergence of ()? You must choose the most pertinent consequence.

- If , then .
- If , then .

- If , then .
- If , then .

You must choose the most pertinent consequence.

.

?

.

Write for a value that does not exist, and or - for + or -.
.

Write for a value that does not exist, and or - for + or -.

### Powers I

Compute the limit of the sequence
, where

### Powers II

Compute the limit of the sequence (*u*_{n}), where

### Recursive function

The sequence
such that
is a recursive sequence defined by
for a certain function
. Find this function.

### Recursive limit

Find the limit of the recursive sequence
such that
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.

Type no if the sequence is divergent.

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- Description: collection of exercises on infinite sequences. interactive exercises, online calculators and plotters, mathematical recreation and games
- Keywords: interactive mathematics, interactive math, server side interactivity, analysis, calculus, sequence,convergence, limit