$Calculus Help$

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$Calculus Help$

1. 2.

Can someone help with these two, the answers i solved, i dont know if it is correct. Thank you

Calculus

Sellymatt

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1. DNE: The limit of $f$ is 1 but $g$ doesn't have a limit.
2. $0$: The limit of $f$ is $0$ and the limit of $g$ is $0$.
3. $0$: The limit of $f$ is $0$ and the limit of $g$ exists (it's some number between $0$ and $1$. So the product is $0$
4. $0$: The limit of $f$ is $0$ and the limit of $g$ exists (it's some number between $0$ and $1$. So the ratio is $0$.
4. $\sqrt{2}$: The limit of $f$ is $-1$, so the whole root is $3-1=2$.

a. $F(-1) = -1$. All your other answers are correct!
b. Left limit to $1$ is $1$, right limit is $2$, the limit doesn't exist, $F(1)=2$.
c. Left limit to $3$ is $2$, right limit is $2$, the limit is $2$, $F(3)$ doesn't exist.

Mathe

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Sellymatt

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Thank you for your day! Have a good night/day.
- Sellymatt
  
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  I meant thank you for your help sorry lol

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