Expansions for Small Quantities These truncated Taylor series expansions are valid for argument x
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Expansions for Small Quantities These truncated Taylor series expansions are valid for argument x

General Functions 1 nx 1 1 2 ln1 2 Trigonometric Functions sin 6 cos 2 tan csc x x 6 sec 1 2 cot x x Inverse Trigonometric Functions sin 6 cos 960 tan 3 csc x 1 6 sec 960 x cot 960 Hyperbolic Functions sinh

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Expansions for Small Quantities These truncated Taylor series expansions are valid for argument x




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Presentation on theme: "Expansions for Small Quantities These truncated Taylor series expansions are valid for argument x"— Presentation transcript:


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Expansions for Small Quantities These truncated Taylor series expansions are valid for argument x << 1. General Functions (1 nx 1) ... 1 + 2 + ... ln(1 + 2 + ... Trigonometric Functions sin 6 + ... cos 2 + ... tan ... csc /x x/ 6 + ... sec 1 + 2 + ... cot /x x/ ... Inverse Trigonometric Functions sin 6 + ... cos π/ ... tan 3 + ... csc /x + 1 (6 ) + ... sec π/ /x ... cot π/ ... Hyperbolic Functions sinh 6 + ... cosh 1 + 2 + ... tanh 3 + ... sech 2 + ... csch /x x/ 6 + ... coth /x x/ 3 + ... Inverse Hyperbolic Functions sinh 6 + ... cosh ln(2 (4 ... tanh 3 + ...

sech ln(2 /x ... csch /x (6 ) + ... coth /x + 1 (3 ) + ...