What is the limit as x approaches 0 of 5/x-5/(e^t-1) ?

The limit as x approaches 0 of 5/x-5/(e^t-1) is diverges

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limit as x approaches 0 of 5/x-5/(e^t-1)

x \to 0 lim (\frac{5}{x} - \frac{5}{e ^{t} - 1})

diverges

Solution steps

x \to 0 lim (\frac{5}{x} - \frac{5}{e ^{t} - 1})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{5}{x} - \frac{5}{e ^{t} - 1}) = \infty

x \to 0 - lim (\frac{5}{x} - \frac{5}{e ^{t} - 1}) = - \infty

= diverges

x \to 0 lim (\frac{( x - tan ( 3 x ) )}{( x + tan ( 2 x ) )})

x \to 2 lim (\frac{x ( x + 3 ) + 1}{x ^{2} - 4 x + 4})

x \to 1 lim (\frac{120 x ^{2}}{x ^{2} + 4})

x \to 0 + lim (\frac{6 csc ( x )}{cot ( x )})

x \to - 2 lim ((4 x + 7) (5 x + 9))

What is the limit as x approaches 0 of 5/x-5/(e^t-1) ?
The limit as x approaches 0 of 5/x-5/(e^t-1) is diverges