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India
Class XI

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
b

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

Easy
< 1min

Consider the function below:

Easy
< 1min

Consider the function below:

Easy
< 1min

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

Easy
< 1min
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Outcomes

11.C.LD.1

Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

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