For a certain value of , _ x - [(x^5+7x^4+2)^c-x ]= is finite and non-zero

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For a certain value of

c

\lim_{x\to-\infty}\left[(x^5+7x^4+2)^c-x\right]=\lambda

is finite and non-zero. Find

3c+\lambda