You are given cos x=1−x22!+x44!−x66!......;

1.	You are given cos x=1−x22!+x44!−x66!......; sin x=x−x33!+x55!−x77!...... tan x=x+x33+2.x515...... Find the value of limx→0x cosx+sinxx2+tanx ___
Answer» You are given $c o s x = 1 - \frac{x^{2}}{2!} + \frac{x^{4}}{4!} - \frac{x^{6}}{6!} . . . . . .;$ $s i n x = x - \frac{x^{3}}{3!} + \frac{x^{5}}{5!} - \frac{x^{7}}{7!} . . . . . .$ $t a n x = x + \frac{x^{3}}{3} + \frac{2. x^{5}}{15} . . . . . .$ Find the value of $lim x \to 0 \frac{x c o s x + s i n x}{x^{2} + t a n x}$ ___

You are given cos x=1−x22!+x44!−x66!......; sin x=x−x33!+x55!−x77!...... tan x=x+x33+2.x515...... Find the value of limx→0x cosx+sinxx2+tanx ___

Answer»

You are given $c o s x = 1 - \frac{x^{2}}{2!} + \frac{x^{4}}{4!} - \frac{x^{6}}{6!} . . . . . .;$

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

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

Find the value of $lim x \to 0 \frac{x c o s x + s i n x}{x^{2} + t a n x}$

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