Question

Limit x->1 [sin (x-1) / (x^2 +x-2)]

Answer 1

\[\lim_{x \rightarrow 1} \sin(x-1) / (x ^{2}+x-2)\]

Answer 2

1/2

Answer 3

is 1/2 right answer?

Answer 4

idk i want teh steps

Answer 5

to how u got teh answer

Answer 6

i have done it through L-hospital rule do you know that rule

Answer 7

wat is taht...everyone always tells me that wen i need help w/ limits..mayb i just call it sumthg else

Answer 8

can u show teh steps..mayb tehn i will understand

Answer 9

do you know differentiation

Answer 10

shouldn't be it 1/3?

Answer 11

yes sorry 1/3

Answer 12

may one of u show me teh steps...yes i know diferentiation

Answer 13

if u put x=1 in the expression what do u get?

Answer 14

hold on lemme check

Answer 15

ok

Answer 16

its indeterminate

Answer 17

its 0/0

Answer 18

good

Answer 19

now u can resolve this form by taking the derivative of both numerator n denominator

Answer 20

what would be that?

Answer 21

wen u mean take teh derivtive do u mean like der of sin is cosx and the dev of teh bottom is 2x+1

Answer 22

cos(x-1)

Answer 23

now again plug in x=1

Answer 24

its 1/ 3

Answer 25

nice:)

Answer 26

ohhh see omg u explain it soo much better tahn at skool....im soo confused at skool about derivatives

Answer 27

this is waht we call L'Hospital rule

Answer 28

oh i see...wats teh L part and the hospital part ....srry for te hstupid q

Answer 29

the rule is on the name of a mathematician

Answer 30

u better google it :)

Answer 31

oh ok...thanks so much 4 ur help...btw since we are on te htopic of derivitaives...wen they ask for u to find teh equation of a tangent line to a curve u are supposed to find the der of teh function...and then wat do u do?

Answer 32

derivative of a function gives u the slope, after finding that, we use the formula to find the line

Answer 33

u can post the question

Answer 34

tahnks i will