What is the limit as x approaches 0 of h(1/x) ?

The limit as x approaches 0 of h(1/x) is h(1/0)

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limit as x approaches 0 of h(1/x)

x \to 0 lim (h (\frac{1}{x}))

h (\frac{1}{0})

Solution steps

x \to 0 lim (h (\frac{1}{x}))

Plug in the value

x = 0

, assuming the function is continuous at this point

= h (\frac{1}{0})

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What is the limit as x approaches 0 of h(1/x) ?
The limit as x approaches 0 of h(1/x) is h(1/0)