Plz. Solve Ques-11
I'll mark the correct answer as brainiest.
Correct answer= 3
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Answer:3
Step-by-step explanation:
I'll try to explain each step.
1. A function is continuos when it's limit at a certain point is equal to the function value at that point. So, for this function to be continuous, its limit as x approaches 0 should be 1.
So, should be 1.
2. We know the limit of tan(x)/x as x tends to zero (it's 1)
3. Now we have tan (3x) in numerator and kx in denominator.
4. Take 3x as y. Also as x approaches 0, y also approaches zero. Since, y = 3x
x = y/3.
5. Rewriting the limit expression with y:
6. Now, clearly for this limit to be equal to 1, k = 3.
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