Question

lim x→ infinity (1 + 4/x-1)^ x+3​

Answer 1

Answer:

mark as brain list ans

Step-by-step explanation:

limx→∞(x+1)(x+2)(x+3)(x+4)−−−−−−−−−−−−−−−−−−−−−−√4−xlimx→∞(x+1)(x+2)(x+3)(x+4)4−x

limx→∞x4+10x3+...−−−−−−−−−−−√4−xlimx→∞x4+10x3+...4−x

limx→∞x(1+10x−−−−−−√4−1)limx→∞x(1+10x4−1)

limx→∞x(1+104x−1)limx→∞x(1+104x−1)

limx→∞x(104x)limx→∞x(104x)

5252

Answer 2

Answer:

1

Step-by-step explanation:

when x tends to infinity ,   $\frac{4}{x-1}$ tends to 0 as denominator becomes infinite.

So the Limit of above expression is equal to Lim x→ infinity (1)^(x+3).

since any power of 1 is equal to 1, thus when 1 is raised to the power infinity

the limit is equal to 1.

For Math Geeks- here, it is not raised to infinity, because infinity is not a number,

i.e. the power of 1 is infinitely large.

Hope you like this answer.