exponential and logarithmic functions test

Introduction - In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P., combinatorial coefficient..

In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P., combinatorial coefficients, the inequality 2 n - 1 n! for n N etc.In this chapt..

The sum of the infinite series 1 + 1/1! + 1/2! + 1/3! + 1/4! + ... is called the exponential number. If x is any complex number then the series is called the exponential series. It can be proved mathematically that this exponential series has a sum and ..

Logarithmic function is f (x) = log x. Its graph i..

For x (0, ), the value of log x is uniquely defined.For x (0, ), the value of log x is uniquely defined. \ x g log x is a well-defined function from (0, ) to (- , ). The value of e to one place of decimal i..

The exponential function is defined as f(x) = e x . Its graph i..

When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation.When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Taking log on both sides, we hav..

Which of the following functions is not an exponential function? => y = 4 x or y = ( 1 7 ) x or y = 5 - x or y = (- 6 5 ) x..

Graph of Exponential Function - For x R, the value of is uniquely defined. For x R, the value of is uniquely defined. of e to one place of decimal is 2.7. The approximate values of the function e x for some of the values of x are as follow..

For x R, the value of is uniquely defined. For x R, the value of is uniquely defined. of e to one place of decimal is 2.7. The approximate values of the function e x for some of the values of x are as follows: ..