1 Crore+ students have signed up on EduRev. Have you? 
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 LHospital 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^{∞ }
149 docs215 tests

Use Code STAYHOME200 and get INR 200 additional OFF

Use Coupon Code 
149 docs215 tests









