`lim_(t ->0) tan(6t)/sin(2t)` Find the limit.

Textbook Question

Chapter 3, 3.3 - Problem 41 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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kspcr111 | In Training Educator

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`lim_(t ->0) tan(6t)/sin(2t)`

as when t->0 we get `tan(nt)= sin(nt)` thends to be equal to  `"nt"`

so,

we get

`lim_(t ->0) tan(6t)/sin(2t)`

`=lim_(t ->0) (6t)/(2t)`

`= 3`

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