do we need to remember this:- 1 amu = 1.66056 x 10^-24g

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Do you remember the weighing machine problems a while ago. We weren't able to get the value of x at that time. But we know our trick now, don't we?? What is the value of 'x' from the figure?

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I was too young to remember why we were moving. But I do remember the long ride to our new house. When we reached, I felt like I had shifted to another part of the world.

The following expansion can be used to find the difficult limits easily. We recommend you to remember them.

$1) e^{x} = \frac{x}{1!} + \frac{x^{2}}{2!} + \frac{x^{3}}{3!} + . . . . . .$

$2) l n (1 + x) = x - \frac{x^{2}}{2} + \frac{x^{3}}{3} . . . . .,$ -1 < x $\geq$ 1

$3) s i n x = x - \frac{x^{3}}{3!} + \frac{x^{5}}{5!} - \frac{x^{7}}{7!} . . . . .$

$4) c o s x = 1 - \frac{x^{2}}{2!} + \frac{x^{4}}{4!} - \frac{x^{6}}{6!} . . . . . .$

$5) t a n x = x + \frac{x^{3}}{3!} + \frac{2 x^{5}}{15!} . . . . . .$

$6) a^{x} = 1 + (l n a) x + (l n a)^{2} \frac{x^{2}}{2!} . . . . . . .$

We will be using these expansions to solve problems in this topic.

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