What is the limit as x approaches 3 of cos^2(e^x) ?

The limit as x approaches 3 of cos^2(e^x) is cos^2(e^3)

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limit as x approaches 3 of cos^2(e^x)

x \to 3 lim (cos^{2} (e^{x}))

cos^{2} (e^{3})

Decimal

0.10797 \dots

Solution steps

x \to 3 lim (cos^{2} (e^{x}))

Plug in the value

x = 3

= cos^{2} (e^{3})

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

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

x \to 3 lim (6 - 3 x)

x \to 3 lim (\frac{5 + 2}{x})

x \to 3 lim (x^{2} + 3 x - 5)

What is the limit as x approaches 3 of cos^2(e^x) ?
The limit as x approaches 3 of cos^2(e^x) is cos^2(e^3)