Question #35b63

1 Answer
Timber Lin
Jan 17, 2018

doesn't exist

Explanation:

if you plug in x=0 directly, you get:
#(sin(0)-cos(0))/0#
#=(0-1)/0#
#=-1/0#

the limit doesn't exist because the denominator is 0 and the numerator is not 0

check this graph: graph{(sinx-cosx)/x [-10, 10, -5, 5]}

near x=0, #(sinx-cosx)/x# doesn't approach anything

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