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WB1.2 - Algebraic Limits

Last updated over 5 years ago

8 questions

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Question 1

1.

\lim\limits_{x\to 0} \frac{\frac{1}{1+x}-1}{x}

Question 2

2.

\lim\limits_{x\to -3} \frac{x^2-9}{x+3}

Question 3

3.

\lim\limits_{w\to 2} \frac{ \sqrt{w+14} -4}{w-2}

Question 4

4.

\lim\limits_{w\to -3} -\frac{w+3}{w^2+5w+6}

Question 5

5.

\lim\limits_{x\to 2} \frac{x-2}{\sqrt{x+2}-2}

Question 6

6.

\lim\limits_{s\to 3} \frac{s}{\frac{1}{-3+s}+\frac{1}{3}}

Question 7

7.

\lim\limits_{w\to \frac{5\pi}{6}} 2\cot\left(2w\right)

Question 8

8.

\lim\limits_{x\to \frac{\pi}{4}} -\sin(2x)