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(lim)(x->0)(cose cx-cotx)...

`(lim)_(x->0)(cose cx-cotx)`

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To solve the limit \( \lim_{x \to 0} (\csc x - \cot x) \), we will follow these steps: ### Step 1: Rewrite the functions Recall the definitions of cosecant and cotangent: \[ \csc x = \frac{1}{\sin x} \quad \text{and} \quad \cot x = \frac{\cos x}{\sin x} \] Thus, we can rewrite the expression: ...
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The (lim)_(x->0)(cos x)^(cotx) is -1 b. 1 c. 0 d. none of these

lim_(xrarr0) (cosecx-cotx)

Knowledge Check

  • lim_(xrarr0)("cosec"x-cotx)/(x) is equal to

    A
    `1/2`
    B
    1
    C
    `1/2`
    D
    1
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