NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Evaluating Limits

Interactive practice questions

Consider the function below:

$f\left(x\right)$f(x) $=$= $1-x^2$1x2 if $x\le2$x2
$x^2-7$x27 if $x>2$x>2
a

Does $\lim_{x\to2}f\left(x\right)$limx2f(x) exist?

Yes

A

No

B

Yes

A

No

B
b

What is the value of $\lim_{x\to2}f\left(x\right)$limx2f(x)?

Easy
Less than a minute
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Consider the function below:

Consider the function below:

Find $\lim_{x\to0}\left(\frac{x^2-6x}{x}\right)$limx0(x26xx).

Outcomes

M8-10

Identify discontinuities and limits of functions

91578

Apply differentiation methods in solving problems

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