Generalised binomial expansion
Expand a negative or fractional power near zero and state an interval of validity.
- Use
. - For the powers used here, require
. Solve this restriction for . - The cubic truncation
contains the terms through ; it is not the full function.
Example 1
Expand up to and including the term in
Example 2
Expand up to and including the term in
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5 practice questions0 of 5 answers checked
Expand up to and including the term in
Check answer
The displayed polynomial is the expansion truncated after
Expand up to and including the term in
Check answer
The displayed polynomial is the expansion truncated after
Expand up to and including the term in
Check answer
The displayed polynomial is the expansion truncated after
Expand up to and including the term in
Check answer
The displayed polynomial is the expansion truncated after
Expand up to and including the term in
Check answer
The displayed polynomial is the expansion truncated after
Expand up to and including the term in
The displayed polynomial is the expansion truncated after
Expand up to and including the term in
The displayed polynomial is the expansion truncated after
Expand up to and including the term in
The displayed polynomial is the expansion truncated after
Expand up to and including the term in
The displayed polynomial is the expansion truncated after
Expand up to and including the term in
The displayed polynomial is the expansion truncated after