שאלה # 15ada

שאלה # 15ada
Anonim

תשובה:

# 1 (x-> 0) x / sqrt (1-cos (x)) = sqrt (2) #

הסבר:

# lim_ (x-> 0) x / sqrt (1-cos (x)) #

(1 + cos (x)) # (x-> 0) x / sqrt (1-cos (x)) * sqrt (1 + cos (x)

# 1 (x +) (x-0) (xsqrt (1 + cos (x))) / sqrt (1-cos ^ 2 (x)) #

# = lim_ (x-> 0) (xsqrt (1 + cos (x)) / sin (x) #

# = lim_ (x-> 0) x / sin (x) sqrt (1 + cos (x)) #

# (x-> 0) sqrt (1 + cos (x)) #

# = 1 * sqrt (2) #

# = sqrt (2) #