What is the limit as x approaches pi/3 of (2cos^2(x)+3cos(x)-2)/(2cos(x)-1) ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches pi/3 of (2cos^2(x)+3cos(x)-2)/(2cos(x)-1)

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

\frac{5}{2}

Decimal Notation

2.5

Solution steps

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

Simplify

\frac{2 cos ^{2} ( x ) + 3 cos ( x ) - 2}{2 cos ( x ) - 1} : cos (x) + 2

= x \to \frac{π}{3} lim (cos (x) + 2)

Plug in the value

x = \frac{π}{3}

= cos (\frac{π}{3}) + 2

Simplify

cos (\frac{π}{3}) + 2 : \frac{5}{2}

= \frac{5}{2}

f (x) = x^{- \frac{1}{3}}

\int e^{5 x + 4} d x

\int \frac{1 + x}{x} d x

\int \frac{x + 4}{x ^{2}} d x

\int 6 + y (y + 2)^{2} d y

What is the limit as x approaches pi/3 of (2cos^2(x)+3cos(x)-2)/(2cos(x)-1) ?
The limit as x approaches pi/3 of (2cos^2(x)+3cos(x)-2)/(2cos(x)-1) is 5/2