What is the limit as h approaches 0 of f(x,h)(x+h) ?

The limit as h approaches 0 of f(x,h)(x+h) is f(x,0)(x+0)

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limit as h approaches 0 of f(x,h)(x+h)

h \to 0 lim (f (x, h) (x + h))

f (x, 0) (x + 0)

Solution steps

h \to 0 lim (f (x, h) (x + h))

Plug in the value

h = 0

, assuming the function is continuous at this point

= f (x, 0) (x + 0)

x \to 0 lim ((4 x)^{x})

x \to 0 lim ((1 + x^{2})^{\frac{3}{x}})

x \to - \infty lim (e^{x} + 3)

x \to 1 - lim (\frac{x}{1 - x})

x \to 3 - lim (\frac{5 x}{x - 3})

What is the limit as h approaches 0 of f(x,h)(x+h) ?
The limit as h approaches 0 of f(x,h)(x+h) is f(x,0)(x+0)