Ndeipi muganhu webasa

Muchinyorwa chino, tichatarisa imwe yemafungiro makuru ekuongorora masvomhu - muganhu webasa: tsanangudzo yaro, pamwe chete nemhinduro dzakasiyana-siyana dzine mienzaniso inoshanda.

Kusarudza muganhu webasa

Basa muganhu - kukosha uko ukoshi hwebasa iri hunoita kana gakava rayo richisvika painogumira.

Rekodhi rekodhi:

• muganhu unoratidzwa nechiratidzo limit;
• pazasi panowedzerwa kukosha kwakadii iyo nharo (inoshanduka) yebasa inorerekera kune. Kazhinji izvi x, asi kwete hazvo, semuenzaniso:x→1″;
• ipapo basa racho pacharo rinowedzerwa kurudyi, semuenzaniso:

  

Saka, rekodhi rekupedzisira remuganho rinotaridzika seizvi (munyaya yedu):

Inoverenga senge "muganho webasa sezvo x inosvika pakubatana".

x→ 1 - izvi zvinoreva kuti "x" inogara ichitora hunhu hunosvika pakubatana, asi hazvizombopindirana nazvo (hazvisvikwe).

Zvisarudzo zvinogumira

Nenhamba yakapihwa

Ngatigadzirise muganhu uri pamusoro. Kuti uite izvi, ingo tsiva iyo unit mune basa (nekuti x→1):

Nekudaro, kugadzirisa muganho, isu tinotanga kuyedza kungotsiva iyo yakapihwa nhamba mukuita basa riri pazasi payo (kana x ichienda kune yakatarwa nhamba).

With infinity

Muchiitiko ichi, nharo yebasa inowedzera kusingaperi, kureva, "X" inoda kusingagumi (∞). Semuyenzaniso:

If x→∞, ipapo iro basa rakapihwa rinowanzoita minus infinity (-∞), nekuti:

• 3 - 1 = 2
• 3 – 10 = -7
• 3 – 100 = -97
• 3 - 1000 - 997 nezvimwe.

Mumwe muenzaniso wakaoma kunzwisisa

Kuti ugadzirise muganhu uyu, zvakare, ingo wedzera kukosha x uye tarisa "maitiro" ebasa munyaya iyi.

• RџS•Rё x = 1, y = 1² + 3 · 1 – 6 = -2
• RџS•Rё x = 10, y = 10² + 3 · 10 – 6 = 124
• RџS•Rё x = 100, y = 100² + 3 · 100 – 6 = 10294

Saka, ye "X"achitarisira kusingagumi, basa x² +3x –6 inokura nokusingaperi.

Nekusavimbika (x inoenda kune infinity)

Muchiitiko ichi, tiri kutaura pamusoro pemiganhu, kana basa iri chidimbu, nhamba uye denominator iyo inonzi polynomials. Wherein "X" zvinoita kuti infinity.

muenzaniso: ngativerengei muganhu pazasi.

mhinduro

Matauriro ari muzvose zviri zviviri nhamba nedhinomineta anoita kuti risingaperi. Zvinogona kufungidzirwa kuti munyaya iyi mhinduro ichave inotevera:

Zvisinei, hazvisi zvose zviri nyore. Kuti tigadzirise muganhu tinofanira kuita zvinotevera:

1. Tsvaga x kusimba repamusoro-soro renhamba (kwedu, mbiri).

2. Saizvozvowo, tinotsanangura x kusimba repamusoro-soro redhinomineta (zvakare zvakaenzana nembiri).

3. Zvino tinopatsanura zvose nhamba nedhinomineta na x mune degree repamusoro. Muchiitiko chedu, mune zvose zviri zviviri - mune yechipiri, asi kana vakasiyana, tinofanira kutora dhigirii yepamusoro.

4. Muchigumisiro chinoguma, zvikamu zvose zvinowanzoita zero, saka mhinduro ndeye 1/2.

Nekusava nechokwadi (x inoenda kune imwe nhamba)

Zvose nhamba uye denominator ndeye polynomials, zvisinei, "X" inorerekera kunhamba chaiyo, kwete kukusingaperi.

Muchiitiko ichi, isu tinovhara maziso edu kune chokwadi chekuti denominator ndeye zero.

muenzaniso: Ngatitsvagei panogumira basa pazasi.

mhinduro

1. Chekutanga, ngatiisirei nhamba 1 muchiitiko, kwairi "X". Isu tinowana kusava nechokwadi kwefomu yatiri kufunga.

2. Zvadaro, tinobvisa nhamba uye denominator muzvinhu. Kuti uite izvi, unogona kushandisa mapfupi ekuwedzera mafomula, kana akakodzera, kana.

Kwatiri, midzi yeshoko iri munhamba (2x² - 5x + 3 = 0) ndidzo nhamba 1 na1,5. Naizvozvo, inogona kumiririrwa se: 2(x-1)(x-1,5).

Denominator (x–1) iri nyore pakutanga.

3. Tinowana muganho wakagadziridzwa wakadaro:

4. Chikamu chinogona kuderedzwa ne (x–1):

5. Inosara chete kutsiva nhamba 1 mukutaura kunowanikwa pasi pemuganhu: