Year 2 SME b by Ascertained Dreams

Does the following limit exist?

ascertaineddreams — 2026-03-11 09:16:24 UTC

Support your answer.

AIME'S OPINION

2026-03-11 09:21:37 UTC

my opinion

2026-03-11 09:22:33 UTC

yeah this limit exists and its limit is 5/4

MY OPINION

2026-03-11 09:23:18 UTC

Yeah this limit exits and its limit5/4.

D.R nsabi

2026-03-11 09:23:23 UTC

it exists and is 5/4

THE SOLUTION

2026-03-11 09:23:37 UTC

THIS LIMIT EXIST AND IS 5/4

m23

2026-03-11 09:23:41 UTC

this limit exists and it is 5/4

IRAGUHA VENUSTE

2026-03-11 09:23:43 UTC

this limit exists and it is 5/4

my answer

2026-03-11 09:23:47 UTC

yes this limit exist and is 5/4

My answer (NIYOGISUBIZO Venuste)

2026-03-11 09:23:48 UTC

This limit exist and it's 5/4

SEBU-@_KAYS

2026-03-11 09:23:49 UTC

This limit exist an its limit is=5/4

solution

2026-03-11 09:23:50 UTC

this limits exist and its 1.25

Benoit wi Rwanda

2026-03-11 09:23:52 UTC

This limit is exist is 5/4

Belyse my opinion is . This limit exists and is 5/4

2026-03-11 09:23:52 UTC

ABEEE

2026-03-11 09:23:55 UTC

For my opinion the limit exists because its limit is 1.25

NIIIIII

2026-03-11 09:24:02 UTC

it exist answer is 1.25

PHIONA

2026-03-11 09:24:13 UTC

for this I can see that it is exist becouse the lim of it is not un defined thas is my caliculation from my head

NSHIMIYIMANA JOSHUA

2026-03-11 09:24:16 UTC

In my opinion the limit exist which if 5/4

IRANKUNDA Fiston

2026-03-11 09:24:23 UTC

It exist and its limit is 5/4

H.B Oliver

2026-03-11 09:24:24 UTC

Obviously it exists and it's 5/4

olla ice

2026-03-11 09:24:28 UTC

yes this limit exists and its limit is 5/4

hen

2026-03-11 09:24:37 UTC

this limits exist and is 5/4

my answer

2026-03-11 09:24:38 UTC

this limit exist and is 5/4

2026-03-11 09:24:53 UTC

Direct substitution here we can not use it

I.T Genno

2026-03-11 09:24:55 UTC

MY solution is 1.25 trough asking neighbors but direct substitution is IF

Solution

2026-03-11 09:25:03 UTC

this limit can exist because if x approaches both sides you get 5/4

NSENGIYUMVA David

2026-03-11 09:25:08 UTC

Yes it exist . and it is 5/4.

GATSINZI JOSUE

2026-03-11 09:25:11 UTC

THE LIMIT EXISTS . FIRST OF ALL DIRECT SUBSTITUTION CAN NOT BUT AFTER FACTORISING NUMERATOR AND SIMPLIFY THE LIMIT BECOME 5/4

VIXO.LY4

2026-03-11 09:25:26 UTC

lim⁡x→2x2+x−6x2−4\lim_{x\to2}\frac{x^2+x-6}{x^2-4}x→2limx2−4x2+x−6

Step 1: Factor

x2+x−6=(x+3)(x−2)x^2+x-6=(x+3)(x-2)x2+x−6=(x+3)(x−2) x2−4=(x−2)(x+2)x^2-4=(x-2)(x+2)x2−4=(x−2)(x+2)

Step 2: Cancel x−2x-2x−2

(x+3)(x−2)(x−2)(x+2)=x+3x+2\frac{(x+3)(x-2)}{(x-2)(x+2)}=\frac{x+3}{x+2}(x−2)(x+2)(x+3)(x−2)=x+2x+3

Step 3: Substitute x=2x=2x=2

2+32+2=54\frac{2+3}{2+2}=\frac{5}{4}2+22+3=45

✅ Answer:

54\boxed{\frac{5}{4}}45

solution

2026-03-11 09:25:32 UTC

simply this limits does not exist if you substitute directly but if you ask neighbour it can be exist about 5/4

kebby

2026-03-11 09:25:33 UTC

for my idea this limit is exist because it is 1/5

SOLUTION by 2TE

2026-03-11 09:25:43 UTC

Actually when you calculate you can see that this limit it exist and is 5/4

IJO JOSHUA

2026-03-11 09:25:46 UTC

IT EXIST AND IT'S 5/4

DIEU MERCI

2026-03-11 09:25:48 UTC

the limt exist and itis 4/5

Mr. answers

2026-03-11 09:25:50 UTC

limit exist if you evaluate

Mamita

2026-03-11 09:26:09 UTC

Yes, this limit exists and is 5/4.

CATALYST

2026-03-11 09:26:43 UTC

Its exist the answer is 5/4.

my answers

2026-03-11 09:26:58 UTC

this limits exist and is 5/4 PR EUGENE

In my opinion

2026-03-11 09:27:07 UTC

It exist

NICLEMA

2026-03-11 09:27:12 UTC

THIS LIMITS EXISTS AFTER SIMPLIFY AND IT IS 1.25

Real.my opinion

2026-03-11 09:27:28 UTC

this limit exits and is 5/4

NIYOGISUBIZO OBED

2026-03-11 09:27:31 UTC

thefuction exist becouse F(x)=5/4

NIYOGUSHIMWA

2026-03-11 09:27:48 UTC

my suggestion

2026-03-11 09:28:01 UTC

The limit exists and is equal to

54five-fourths

𝟓/𝟒

my opinion ,friends

2026-03-11 09:28:02 UTC

yeah this limit exist and its limit is 5/4 ,simply it's 1.25 . my friends be vigilant to what you are play with .these practices may come in exams soon! elie

5135129145

2026-03-11 09:28:19 UTC

It exist it is5/4