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Solve the Following Question.(2 Marks)

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3 questions · self-marked practice — reveal the answer and mark yourself.

Question 12 Marks
Find a and b if following functions are continuous at the point indicated against them.

$
\begin{aligned}
& f(x)=\frac{x^2-9}{x-3}+a, \text { for } x>3 \\
& =5, \text { for } x=3 \\
& =2 x^2+3 x+b, \text { for } x<3
\end{aligned}
$
is continuous at $x=3$

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Question 22 Marks
Find a and b if following functions are continuous at the point indicated against them.

$f(x)=x^2+a$, for $x \geq 0$ $=2 \sqrt{x^2+1}+b$, for $x<0$ and $f(1)=2$, is continuous at $x=0$

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Question 32 Marks
Find k if following functions are continuous at the points indicated against them.

\begin{aligned}
& \mathrm{f}(\mathrm{x})=(1+k x)^{\frac{1}{x}}, \text { for } \mathrm{x} \neq 0 \\
& =e^{\frac{3}{2}}, \text { for } \mathrm{x}=0, \text { at } \mathrm{x}=0
\end{aligned}

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Solve the Following Question.(2 Marks) - Maths (commerce) STD 11 Commerce / Arts Questions - Vidyadip