# Analysis Question

• April 18th 2010, 03:22 PM
villa223
Analysis Question
Hello,

Can you help with finding the first 5 terms of a Laurent Series centered at z0 = 0 for (1/e^z-1) using power series divison?

Thank you
• April 19th 2010, 03:29 AM
HallsofIvy
Since $e^z= \sum_{n=0}^\infty \frac{z^n}{n!}$, $e^z- 1= \sum_{n=1}^\infty \frac{z^n}{n!}$.

Divide 1 by that power series.
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.6019424200057983, "perplexity": 3128.2562971853636}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2016-26/segments/1466783394414.43/warc/CC-MAIN-20160624154954-00002-ip-10-164-35-72.ec2.internal.warc.gz"}