Una funci\u00f3n f(x) es peri\u00f3dica, de per\u00edodo T, si para todo n\u00famero entero z, se verifica:<\/p>\n

f(x) = f(x + z T)<\/strong><\/p>\n

$\"Explicaciones$ <\/p>\n

La funci\u00f3n f(x) = sen x es peri\u00f3dica de periodo 2π, ya que cumple que:<\/p>\n

sen (x + 2π) = sen x <\/p>\n

$\"Explicaciones$ <\/p>\n

La funci\u00f3n f(x) = tg x es peri\u00f3dica de periodo π, ya que cumple que:<\/p>\n

tg (x + π) = tg x <\/strong><\/p>\n

$\"Explicaciones$ <\/p>\n

La funci\u00f3n mantisa, f(x) = x - E(x), es peri\u00f3dica de periodo 1.<\/strong><\/p>\n

Si tenemos una funci\u00f3n peri\u00f3dica f(x) de periodo T<\/strong>, la funci\u00f3n g(x) = f(kx) tiene de periodo<\/strong>:<\/p>\n

$\"Explicaciones$ <\/p>\n<\/section>\n

<\/p>\n

\n
Ejemplos<\/h2>\n
<\/p>\n
Hallar el periodo de las funciones:<\/p>\n
\n
1<\/h2>\n
f(x) = sen 2x<\/strong><\/p>\n
$\"Explicaciones$ <\/p>\n
\n
2<\/h2>\n
f(x) = tg (1\/2)x<\/strong><\/p>\n
$\"Explicaciones$ <\/p>\n
\n
3<\/h2>\n
f(x) = E (1\/2)x<\/strong><\/p>\n
$\"Explicaciones$ <\/p>\n<\/section>\n","protected":false},"excerpt":{"rendered":"
Una funci\u00f3n f(x) es peri\u00f3dica, de per\u00edodo T, si para todo n\u00famero entero z, se verifica: f(x) = f(x + z T) La funci\u00f3n f(x) = sen x es peri\u00f3dica de periodo 2π, ya que cumple que: sen (x + 2π) = sen x La funci\u00f3n f(x) = tg x es peri\u00f3dica de periodo π, […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[366],"tags":[361],"class_list":["post-109938","post","type-post","status-publish","format-standard","hentry","category-calculo","tag-f"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["C\u00e1lculo<\/a>"],"unlinked":["C\u00e1lculo<\/span>"]},"tags":{"linked":["f<\/a>"],"unlinked":["f<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 6 a\u00f1os hace","modified":"Actualizado 6 a\u00f1os hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 29 enero 2020"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 14 min","modified":"Actualizado el 29 enero 2020 18 h 14 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/109938","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=109938"}],"version-history":[{"count":0,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/109938\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=109938"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=109938"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=109938"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

Ejemplos<\/h2>\n <\/p>\nHallar el periodo de las funciones:<\/p>\n\n

1<\/h2>\nf(x) = sen 2x<\/strong><\/p>\n<\/p>\n\n

Ejemplos<\/h2>\n
<\/p>\n
Hallar el periodo de las funciones:<\/p>\n
\n

1<\/h2>\n
f(x) = sen 2x<\/strong><\/p>\n
$\"Explicaciones$ <\/p>\n
\n