Question

Evaluate the following limit:

Answer 1

\[\lim_{x \rightarrow 0}(x ^{10}-5x ^{6}-1)^{39}\]

Answer 2

@jim_thompson5910

Answer 3

plug in x = 0 and evaluate

tell me what you get

Answer 4

O ?

Answer 5

\[\large \lim_{x \rightarrow 0}(x ^{10}-5x ^{6}-1)^{39} = (0^{10}-5(0) ^{6}-1)^{39} \]

\[\large \lim_{x \rightarrow 0}(x ^{10}-5x ^{6}-1)^{39} = (0-5(0)-1)^{39} \]

\[\large \lim_{x \rightarrow 0}(x ^{10}-5x ^{6}-1)^{39} = (-1)^{39} \]

\[\large \lim_{x \rightarrow 0}(x ^{10}-5x ^{6}-1)^{39} = ?? \]

Answer 6

-1? :D

Answer 7

yes, (-1)^39 = -1

so \[\large \lim_{x \rightarrow 0}(x ^{10}-5x ^{6}-1)^{39} = -1\]