Question icon
Grade 77 grade maths

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

Question image for please anser the question in image lim x tends to
Profile image of roshan
7 Years agoGrade 7
Answers icon

1 Answer

Profile image of roshan
7 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