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Since the limit from the left does not equal to the limit from the right. So limit does not exist.
If f(x) is continuous at x = 0 where
then what is the value of k?
Since given function is continuous at x = 0
Alternate method:
0/0 form using L Hospital’s
If f(x) is continuous at x = 0 where
then what is the value of k?
f(x) is continuous at x = 0
By definition of logarithm
k ≠ -4
∴ k = 4
Alternate method using L Hospital's
2logk = log (16)
2logk = 2log (4)
∴ k = 4
= 1
Applying L-Hospital Rule
Since the limit is of the form 0/0
Therefore,
Concept:
Alternate method: Using L Hospital’s
Substituting x = ∞
It is of the form 1∞
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