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Evaluate the following limits: `lim_(xrarr0)(cosec x-cotx)`

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Evaluate the following limits:
`lim_(xrarr0)(cosec x-cotx)`
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Given limit `=lim_(xto0)((1)/(sinx)-(cosx)/(sinx))=lim_(xto0)((1-cosx))/(sinx)=lim_(xto0)(2sin^(2)(x//2))/(2sin(x//2)cos(x//2))`
`=lim_(xto0)tan((x)/(2))=0.`
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