27th plz

Asked by lovemaan5500 | 19th Jul, 2018, 06:30: PM

Expert Answer:

Using definition of mod function,
f(x) = x - 5      x > 0 
      = -x - 5     x < 0
      = -5          x = 0
 
begin mathsize 16px style limit as straight x rightwards arrow 5 to the power of plus of space straight f left parenthesis straight x right parenthesis equals limit as straight x rightwards arrow 5 of space straight x minus 5 equals 5 minus 5 equals 0
limit as straight x rightwards arrow 5 to the power of minus of space straight f left parenthesis straight x right parenthesis equals limit as straight x rightwards arrow 5 of space minus straight x minus 5 equals negative 5 minus 5 equals negative 10
limit as straight x rightwards arrow 5 of space straight f left parenthesis straight x right parenthesis equals limit as straight x rightwards arrow 5 of space straight x minus 5 equals 5 minus 5 equals 0
limit as straight x rightwards arrow negative 5 of space straight f left parenthesis straight x right parenthesis equals limit as straight x rightwards arrow negative 5 of space minus straight x minus 5 equals negative open parentheses negative 5 close parentheses minus 5 equals 0 end style

Answered by Sneha shidid | 23rd Jul, 2018, 05:41: PM