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sorry, there is a slight change in this question and thanks for the other two vinu.

Evaluate the limit

1. Li m log x -1

x? e _______

(x tends to e) x-e

Evaluate the limits

1. Li m log x -1

x? 3 _______

x-e

(x tends to 3)

2. Lim 3ⁿ⁺¹+ 4

n?? _______

3ⁿ⁺² +4

(n tends to infinity)

Where (n+1) is the power of 3 in numerator &

(n+2) is the power of 3 in denominator.

3. Lim 2^x + 3^x

x?? ______

3^x + 1

(x tends to infinity)

Where x is the power of 2 and 3 &

also x is the power of 3 in denominator.

Evaluate the limits

1. Li m log x -1

x? 3 _______

x-e

2. Lim 3ⁿ⁺¹+ 4

n?? _______

3ⁿ⁺² +4

Where (n+1) is the power of 3 in numerator &

(n+2) is the power of 3 in denominator.

3. Lim 2^x + 3^x

x?? ______

3^x + 1

Where x is the power of 2 and 3 &

also x is the power of 3 in denominator.