Question

please answer fast!!!​

Answer 1

hope this helps you...

Answer 2

{For solution, please refer to the attachment}

Concept used :

L-Hospital's Rule;

Let f(x) and g(x) be any two function of x such that , f(a) = g(a) = 0, then;

lim(x->a) f(x)/g(x) = lim(x->a) f'(x)/g'(x).

Note:

i) Before applying L-Hospital's rule at any stage make sure that the form is 0/0.

ii) While applying L-Hospital's rule we cannot differentiate f(x)/g(x) as a function. The numerator and the denominator must be differentiated separately.

iii) There are seven indeterminate forms;

• 0/0
• ∞/∞
• 0×∞
• 1^∞
• ∞^0
• 0^0
• ∞ - ∞