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please anser the question in image lim x tends to 0 sinmx/tannx please answer these too

please anser the question in image
lim x tends to 0 sinmx/tannx
please answer these too
 

Question Image
Grade:7

1 Answers

roshan
12 Points
2 years ago

Answer:

limx0tanxsinx=1

Explanation:

Plugging in 0 right away yields tan(0)sin(0)=00, an indeterminate form, so we must simplify.

Recall tanx=sinxcosx.

So,

limx0tanxsinx=limx0sinxcosxsinx=limx0sinxcosxsinx=limx0secx=sec0=1 

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