What is the limit as x approaches 0 of cos(x)+sin(x) ?

The limit as x approaches 0 of cos(x)+sin(x) is 1

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limit as x approaches 0 of cos(x)+sin(x)

x \to 0 lim (cos (x) + sin (x))

1

Solution steps

x \to 0 lim (cos (x) + sin (x))

Plug in the value

x = 0

= cos (0) + sin (0)

Simplify

cos (0) + sin (0) : 1

= 1

(x + 2)^{2} + (y - 3)^{2} = 37, (4, 2)

\frac{d y}{d x} = \frac{( y ^{2} - 1 )}{x ^{2} - 1}, y (7) = 7

\int e^{\frac{x}{5}} d x

y^{^{'}} = 8 x^{3} + 2 \frac{y}{x}

\frac{d y}{d t} = - 2 y, y (0) = 2

What is the limit as x approaches 0 of cos(x)+sin(x) ?
The limit as x approaches 0 of cos(x)+sin(x) is 1