Puneet Prajapati

Numerade Educator

Biography

After clearing out the Entrance Test for Chartered Accountancy Test and taking up IPCC (Intermediate Level) of Chartered Accountancy Course, the same mechanism was being provided by the next batch of students of another level for Intermediate Accounting, Business Studies and Economics. It was my immense pleasure tutoring such students and would be loving to have such pleasure forever.
According to my experience, I have developed an attitude towards studies that apart from making you an earning member of the family, it would let you develop some enthusiastic elements in yourself and such effect could be seen in long term. I think, I could never stop to make me as well as other learning from sharing of knowledge with each other.

Education

Puneet has not yet added their education credentials.

Topics Covered

Markets and Welfare

The Data of Macroeconomics

The Macroeconomics of Open Economies

The Real Economy in the Long Run

Money and Prices in the Long Run

The Economics of the Public Sector

Firm Behavior and the Organization of Industry

Markets and Welfare

How Markets Work

Introduction

How Markets Work

The Language of Algebra

Functions

Exponential and Logarithmic Functions

Graphs and Statistics

Linear Functions

Probability

Introduction to Combinatorics and Probability

Limits

Derivatives

Equations and Inequalities

Exponents and Polynomials

Complex Numbers

Puneet's Textbook Answer Videos

Thomas Calculus

Find the average rate of change of the function over the given interval or intervals.
$$
g(x)=x^{2}
$$
$$
\text { a. }[-1,1] \quad \text { b. }[-2,0]
$$

Chapter 2: Limits and Continuity

Section 1: Rates of Change and Tangents to Curves

Thomas Calculus

Speed of a car The accompanying figure shows the time-to-distance graph for a sports car accelerating from a standstill.
a. Estimate the slopes of secants $P Q_{1}, P Q_{2}, P Q_{3},$ and $P Q_{4}$ , arranging them in order in a table like the one in Figure 2.6 . What are the appropriate units for these slopes?
b. Then estimate the car's speed at time $t=20 \mathrm{sec}$.

Chapter 2: Limits and Continuity

Section 1: Rates of Change and Tangents to Curves

Thomas Calculus

The profits of a small company for each of the first five years of its operation are given in the following table:
a. Plot points representing the profit as a function of year, and join them by as smooth a curve as you can.
b. What is the average rate of increase of the profits between 2002 and 2004$?$
c. Use your graph to estimate the rate at which the profits were changing in $2002 .$

Chapter 2: Limits and Continuity

Section 1: Rates of Change and Tangents to Curves

Thomas Calculus

Limits of quotients Find the limits.
$$\lim _{x \rightarrow 4} \frac{4-x}{5-\sqrt{x^{2}+9}}$$

Chapter 2: Limits and Continuity

Section 2: Limit of a Function and Limit Laws

Thomas Calculus

Suppose that $f$ is an odd function of $x .$ Does knowing that
$\lim _{x \rightarrow 0^{+}} f(x)=3$ tell you anything about $\lim _{x \rightarrow 0^{-}} f(x) ?$ Give rea-
sons for your answer.

Chapter 2: Limits and Continuity

Section 4: One-Sided Limits

Thomas Calculus

Limits Involving Trigonometric Functions Find the limits in Exercises $31-36$ . Are the functions continuous at the point being approached?

$\lim _{x \rightarrow \pi} \sin (x-\sin x)$

Chapter 2: Limits and Continuity

Section 5: Continuity

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