Find the limit

[gusty kernel]

F(x) = (1+sinx-cosx)/(1-sinx-cosx) as x approaches 0. I have absolutely no idea. I have tried everything I can

[gusty kernel]

The answer is -1 tho

I don't know how to get to jt

And aslo

I have other questions after that

[gusty kernel]

It's actually should I prove it for x -> 0, x<0 and then if this limit is the same as x->0, x>0 then it's the limit

Left and right limit

[thin cipher]

have you had l'hopitals rule?

[gusty kernel]

No

I don't think I've learned this

Still

[simple wraith]

L’hôpital would help solve this

Maybe there’s some algebraic trick

[simple wraith]

Yep

[simple wraith]

Try rationalizing the fraction

[gusty kernel]

Well I tried

I can't do it

[gusty kernel]

I think I got it by multiplying by (1+sinx +cosx)

[thin cipher]

Try multiplying top and bottom by something like 1-sinx+cosx or 1+sinx-cosx or 1+sinx+cosx

[gusty kernel]

Yes

[thin cipher]

Lol

Nice

[gusty kernel]

My idea yesterday was that

By I was too lazy

[thin cipher]

😂

[gusty kernel]

And I thought there's better way tk

Yk

Too much work

[thin cipher]

Its L'hopital

But if you havent had it

You cant use it

[gusty kernel]

I have derivatives in a few lessons

Maybe then I can look it up

.solved

[mint vessel]

Solved

Post marked as solved by @gusty kernel.

Use .unsolved if this was a mistake.

[simple wraith]

Yes