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Question : 105 of 180
Marks:
+1,
-0
Solution:
The given limit is:
(‌)kWe can simplify this by using the following limit:
‌=1Step 1: Rewrite the limit
First, multiply and divide the expression inside the limit by *ax* and *bx*, respectively:
(‌⋅‌⋅‌)k Step 2: Apply the limit properties
We can separate the limit into individual limits:
(‌⋅‌⋅‌)kNow, we can apply the limit
‌=1 to the first two limits:
(1⋅1⋅‌)k Step 3: Simplify
Finally, we get the simplified expression:
(‌)kTherefore, the correct answer is Option B:
(‌)k
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