koiralasmu63
koiralasmu63 koiralasmu63
  • 08-11-2021
  • Mathematics
contestada

lim θ→π/4, (cos θ-sinθ)/θ-π/4​

Respuesta :

beckerjr
beckerjr beckerjr
  • 08-11-2021

Answer:

[tex]{ \boxed{ \mathfrak{ \: answer : \: { \rm{ - \infin}} }}}[/tex]

Step-by-step explanation:

[tex]{ \rm{ \frac{( \cos \theta - \sin \theta) }{ \theta - \frac{\pi}{4} } }} \\ { \tt{ \{lim _{ \theta = \frac{\pi}{4} } \} }} \\ \\ \dashrightarrow \: { \rm{ \frac{( \cos \frac{\pi}{4} - \sin \frac{\pi}{4} ) }{ \frac{\pi}{4} - \frac{\pi}{4} } }} \\ \\ = { \rm{ \frac{0 - 1}{0} }} \\ \\ = { \rm{ \frac{ - 1}{0} }}[/tex]

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