Lim x tends to 0 (sin 8x/tan 4x)
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Solution:
Given Limit:
If we substitute x = 0 directly, we get:
Which is an indeterminate form.
Consider again:
We know that:
Using this result, we get:
We know that tan(x) is the ratio of sin(x) and cos(x). So, the limit becomes:
Now substitute x = 0 to get the value of the limit:
Therefore:
★ Which is our required answer.
Learn More:
Standard limits.
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