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9. Given, f (x) = $\{\begin{array}{cc}\hfill x+1,\pi x\ge 1\hfill & \hfill x^2+1, \pi x<1.\hfill \end{array}$

For x = c < 1,

$\underset{x\to c}{lim}$ f (x) = $\underset{x\to c}{lim}$ x2 + 1 = c2 + 1

∴ $\underset{x\to c}{lim}$ f (x) = f (c)

So f is continuous at x = c < 1.

For x = c > 1,

F (c) = c + 1

$\underset{x\to c}{lim}$ f (x) = $\underset{x\to c}{lim}$ x + 1 = c + 1

∴ $\underset{x\to c}{lim}$ f (x) = f (c)

So, f is continuous at x = c > 1.

For x = c = 1, + (1) = 1 + 1 = 2

L.H.L. = $\underset{x\to 1^{-}}{lim}$ f (x) = $\underset{x\to 1^{-}}{lim}$ x2 + 1 = 12 + 1 = 2.

R.H.L. = $\underset{x\to 1^{+}}{lim}$ f (x) = $\underset{x\to 1^{+}}{lim}$ x + 1 = .1 + 1 = 2

∴ L.H.L = R.H.L. = f (1)

So, f is continuous at x = 1.Hence f has no point of discontinuity.

Distance Bcom course is a Bachelor of Commerce degree course pursued through distance learning or online mode, rather than traditional on-campus classes. 

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Shanti Business School offers postgraduate-level course is delivered across various specialisations including Marketing, Finance, International Business, Human Resources, Data Science, Communications, Supply Chain Management, and Entrepreneurship. To provide admission to the PGDM courses, Shanti Business School accepts national-level entrance exams like MAT, XAT, CAT, CMAT, ATMA, etc. The Institute offers these courses for the duration of 2 years with a total tuition fees worth INR 7.5 Lakh. 

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The median package recorded during the recent years during IISER Pune placements is provided in the table below:

NOTE: The above data is obtained from the NIRF report 2025

If the photo printed on the CA Foundation admit card is unclear, candidates will need to reach out to the examination conducting body and get it rectified before the exam dates. It is very important to have clear photo and signature on the CA Foundation admit card as it is the main document of identification of students.

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