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Find the limit lim x->0 (sin(3x)/x).
Find the limit lim x->0 (sin(3x)/x).
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Practice Questions
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Q1
Find the limit lim x->0 (sin(3x)/x).
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3
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Using the limit property, lim x->0 (sin(kx)/x) = k. Here, k = 3, so the limit is 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the limit lim x->0 (sin(3x)/x).
Solution:
Using the limit property, lim x->0 (sin(kx)/x) = k. Here, k = 3, so the limit is 3.
Steps: 5
Show Steps
Step 1: Identify the limit we need to find: lim x->0 (sin(3x)/x).
Step 2: Recognize that this limit can be solved using a known limit property: lim x->0 (sin(kx)/x) = k, where k is a constant.
Step 3: In our case, k is 3 because we have sin(3x).
Step 4: Apply the limit property: since k = 3, we find that lim x->0 (sin(3x)/x) = 3.
Step 5: Conclude that the limit is 3.
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